• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Akiyama Shigeki  秋山 茂樹

ORCIDConnect your ORCID iD *help
… Alternative Names

AKIYAMA Shigeki  秋山 茂樹

秋山 茂樹  アキヤマ シゲキ

Less
Researcher Number 60212445
Other IDs
External Links
Affiliation (Current) 2025: 筑波大学, 数理物質系, 教授
Affiliation (based on the past Project Information) *help 2017 – 2024: 筑波大学, 数理物質系, 教授
2012 – 2016: 筑波大学, 数理物質科学研究科(系), 教授
2012 – 2015: 筑波大学, 数理物質系, 教授
2013: 筑波大学, 大学院数理物質科学研究科, 教授
2007 – 2011: Niigata University, Faculty of Science, Associate Professor … More
2007: Niigata University, Graduate School of Science and Technology, Associate Professor
2005 – 2006: 新潟大学, 自然科学系, 助教授
1994 – 2004: 新潟大学, 理学部, 助教授
1994: 新潟大学, 教養部, 講師
1992: 新潟大学, 教養部, 講師 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Basic analysis / Geometry / Geometry / Basic Section 12010:Basic analysis-related / Petrology/Mineralogy/Science of ore deposit / 解析学
Keywords
Principal Investigator
Pisot数 / 置換規則 / タイリング / 記号力学系 / タイル張り / フラクタル / Tiling / Pisot 数 / 自己誘導構造 / 数系 … More / Pisot number / 一様分布 / Markoff-Lagrange スペクトル / スツルム語 / Fractal / Number System / ゼータ関数 / ピゾ数 / Pisot Number / Symbolic Dynamical System / シフト基数系 / 自己相似 / 非周期性 / 楕円曲線 / 準周期秩序 / 自己相似性 / Markoff Lagrange スペクトル / ディオファントス近似 / 準周期タイリング / 離散回転 / Salem数 / 等差数列 / 無理回転 / アルゴリズム / 力学系 / メビウス直交性 / 生成点 / 正規数 / コロナ極限 / corona limit / rational number system / normal numbers / Sarnak conjecture / Bernoulli convolution / 自己相似構造 / Zeta Function / Symbolic Dynamical system / Zeta function / Number system / zeta function / L function / 不変測度 / sofic system / ベータ展開 / 準結晶 / 概周期構造 / 自然拡大 / スペクトル / 準周期構造 / substitution / Symbolic dynamical system / Discrete Dynamical system / irrational rotation / Substitution / shift radix system / Domain Exchange / Discrete Dynamical System / 領域交換 / 離散力学系 / 数系タイル / リーマン予想 / L関数 / 保型関数 / リーマンゼータ関数 / 楕円対数関数 / 楕円数列 / ヤコビ和 / least commen multiple / elliptic function / Lucas sequence / modulor Function / Atkin Conjecture … More
Except Principal Investigator
フラクタル / 多重ゼータ関数 / ゼータ関数 / 力学系 / タイリング / モジュラー関係式 / modular relation / 二乗平均 / ラプラシアン / 熱核 / 準周期性 / 準結晶 / 準周期タイリング / アーベル曲面 / exponential sum / functional equation / 指数和 / 関数等式 / モデュラー関係式 / Galois group / function field / ガロワ直線 / ガロワ群 / 関数体 / Ramanujan's formula / Analytic continuation / Ramanujan formula / Modular relation / 近似関数等式 / 解析接続 / Ramanujan公式 / Galois point / ガロワ点 / 楕円曲線 / Rankin-Selberg series / Universality / 平均値定理 / universality / Rankin-Selberg L関数 / 漸近展開 / 約数問題 / Voronoi公式 / Riemannゼータ関数 / 拡散過程 / substitution rule / 自己相似性 / 非周期性 / 非周期 / 数理モデル / 保型形式 / 量子不変量 / 結び目 / 3次元多様体 / 自己相似集合 / Pisot数 / 非有理次数 / 解析学 / 等角次元 / Harnack 不等式 / 距離空間 / projection method / self-similarity / dynamical system / non-periodicity / matching rule / quasi-neriodicity / tiling / モジュライ空間 / 貼り合わせルール / 回転列 / 射影法 / substitutionルール / 貼り合わセルール / 準周期 / theta function / modular form / quantum invariant / knot / 3-manifold / テータ函数 / zeta-function associated with polynomial / double zeta-function / Mellin-Barnes integral / H-function / オーダー評価 / ダブルゼータ関数 / 部分分数展開 / ワイル変換 / メリンーバーンズ積分 / 多項式ゼータ関数 / 2重ゼータ関数 / メリン-バーンズ積分 / H-関数 / birational transformation / ramified covering / Galois embedding / automorphism group / Galois line / space algebraic curve / 双有理変換 / 被覆多様体 / ガロワ埋め込み / 自己同型群 / 空間代数曲線 / mean square / exponent pairs / multiple zeta function / Madelung constant / オイラ・マクローリンの和公式 / 多重ゼータ値 / 一様分布 / サレム数 / オイラーザギヤー型多重和 / 分岐型関数等式 / 指数対 / マデルング定数 / ラマヌジャン公式 / Galoi line / space curve / projection / hypersurface / 代数多様体 / 射影空間 / 空間曲線 / 射影 / 超曲面 / Automorphic L-function / Hurwitx zeta-function / Euler-Zagier sum / Multiple zeta-function / 実二次体 / 普遍性 / 多重ガンマ関数 / Mellin-Barnes formula / 保型L関数 / 普遍性定理 / Hurwitzゼータ関数 / Euler-Zagier和 / Multiple zeta function / Elliptic curve / Arithmetical function / Mean value formula / Dirichlet series / Rankin-Selberg 級数 / Bernoulli数 / 数論的関数 / Dirichlet級数 / maximal rational intermediate subfield / algebraic curve / Kodaira dimension / algebraic surface / degree of irrationality / 極大有理中間体 / 極大有理的中間体 / 代数曲線 / 小平次元 / 代数曲面 / 非有利次数 / Riemann hypothesis / elliptic curve / mean value formula / Voronoi formula / divisor problem / Voronoi 級数 / Riemann予想 / 2乗平均 / Rankin-Selberg L-function / Asymptotic expansion / Mean square / Divisor problem / Voronoi's formula / Dirichlet L-function / Riemann zeta-function / 二重ガンマ関数 / L関数 / Lerchゼータ関数 / Voronoiの公式 / Dirichlet L関数 / 複素力学系 / 確率過程 / Dirichlet form / grid / 回転対称性 / タイル貼り / Leaping convergents / 線形関係式 / 組合せ論 / 整数論 / 連分数 / 組み合わせ論 / 代数学 / 数論 / フックス群 / substitution rul / 環状拡大 / 配置空間 / 培養 / 隕石 / グラファイト / 自己組織化構造 / フランボイダル / 磁鉄鉱 / ヒ素 / 黄鉄鉱 / フランボイド / 自己組織化組織 / モデル / 電子顕微鏡 / バイオ / ナノ / ミクロ / 集合 / 鉱物 / low discrepancy / 非Pisot数 / サブスティテユーション / non-Pisot 数 / マルコフ分割 / Diophantine近似 / サブスティテューション / non-Pisot数 / Pisot / ヘシアン / 勾配流 / ワープド積 / 分解定理 / リッカチ微分方程式 / ヤコビ場 / ベクトル場 / リーマン幾何学 / ショルツ認容 / ショルツ導手 / ノット理論 / 中心拡大 / 有理関数体 / 超楕円曲面 / 楕円関数 / マルコフ決定過程 / 解析的接合積 / ラグランジアン力学系 / 失役点 / 曲率斉次空間 / アインシュタイン空間 / 概ケーラー多様体 / ガロワ中間体 / 複素表現 / multiple scales法 / 有限帯ポテンシャル / シュレディンガー方程式 / 特異摂動 / Berry位相 Less
  • Research Projects

    (37 results)
  • Research Products

    (278 results)
  • Co-Researchers

    (64 People)
  •  Almost periodic structure and aperiodicityPrincipal Investigator

    • Principal Investigator
      秋山 茂樹
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      University of Tsukuba
  •  Study of Analysis and Geometry of complex spaces

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  Application of substitutive dynamical system to number theoryPrincipal Investigator

    • Principal Investigator
      秋山 茂樹
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      University of Tsukuba
  •  Self-inducing structure of arithmetic algorithmsPrincipal Investigator

    • Principal Investigator
      Akiyama Shigeki
    • Project Period (FY)
      2017 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tsukuba
  •  Relation between structure of spaces and analysis

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Relation between algebra, geometry and analysis on fractals

    • Principal Investigator
      Kigami Jun
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Pisot conjecture on substitutive dynamical systemsPrincipal Investigator

    • Principal Investigator
      Akiyama Shigeki
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tsukuba
  •  The construction of approximate grids for quasicrystals using control points

    • Principal Investigator
      Komatsu Kazushi
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kochi University
  •  Analytic, Algebraic and Combinatorial studies on continued fractions

    • Principal Investigator
      KOMATSU Takao
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hirosaki University
  •  Spectral problem on quasi-periodic structurePrincipal Investigator

    • Principal Investigator
      AKIYAMA Shigeki
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Classification of quasi-periodic structure with local configurations of Archimedes tiling

    • Principal Investigator
      KOMATSU Kazushi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kochi University
  •  Research of number theoretic properties of quantum invariants of knots and 3-manifolds and its application

    • Principal Investigator
      TAKATA Toshie
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  鉱物集合ナノ・ミクロ組織にみられるフラクタル・自己組織化とそのバイオ由来への興味

    • Principal Investigator
      赤井 純治
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Petrology/Mineralogy/Science of ore deposit
    • Research Institution
      Niigata University
  •  Mathematics of quasi-periodic tilings and their applications

    • Principal Investigator
      ITO Shunji
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanazawa University
  •  Number theoretical tiling and aperiodic discrete structurePrincipal Investigator

    • Principal Investigator
      AKIYAMA Shigeki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Analysis for pre-fractal structures in guasiperiodic filings

    • Principal Investigator
      KOMATSU Kazushi
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kochi University
  •  Beneath on analytic properties ofvarious zeta-functions

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Research of relation among quantum invariant and number theoretic invariants and modular forms

    • Principal Investigator
      TAKATA Toshie
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  Research on space curve and its Galois line

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Symbolic Dynamical System and Number Theoretical TilingsPrincipal Investigator

    • Principal Investigator
      AKIYAMA Shigeki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Research on the special values of various zeta functions

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Research on the structures of hypersurfaces and their function fields

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      NIIGATA UNIVERSITY
  •  Studies on the analytic behaviour of number theoretic L-functions

    • Principal Investigator
      MATSUMOTO Kohji
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Topological structure of fractal tilings attached to number systemPrincipal Investigator

    • Principal Investigator
      AKIYAMA Shigeki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Sum formulas for arithmetical functions and mean value theorem for the zeta functions

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Degree of irrationalities of algebraic surfaces with Kodaira dimension zero

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      NIIGATA UNIVERSITY
  •  保型L関数の近似関数等式Principal Investigator

    • Principal Investigator
      秋山 茂樹
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Behavior of Zeta and L-functions and their arithmetic meaning

    • Principal Investigator
      MATSUMOTO Kohji
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Estimate of the sum of arithmetical functions and its applications to L functions

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  代数体の中心拡大 modulo m の研究

    • Principal Investigator
      竹内 照雄
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  ヤコビベクトル場による大域幾何学の研究

    • Principal Investigator
      印南 信宏
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  elliptic logarithmの漸近的挙動の研究Principal Investigator

    • Principal Investigator
      秋山 茂樹
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  代数曲面の非有理次数の研究

    • Principal Investigator
      吉原 久夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  代数群の表現論

    • Principal Investigator
      吉原 久夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  微分可能多様体上の幾何学的諸構造に関する研究

    • Principal Investigator
      関川 浩永
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  Atkinのp進保形式に関する予想とMoonshinePrincipal Investigator

    • Principal Investigator
      秋山 茂樹
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  外場下にあるBloch電子の複素解析とブリルアンゾーン上のBerry phase

    • Principal Investigator
      TAJIMA Shin-ichi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Niigata University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Substitution anf Tiling Dynamics:Introduction to Self-inducing Structures2020

    • Author(s)
      Shigeki Akiyama and Pierre Arnoux
    • Total Pages
      453
    • Publisher
      Springer Nature Switzerland
    • ISBN
      9783030576653
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Book] Substitution anf Tiling Dynamics:Introduction to Self-inducing Structures2020

    • Author(s)
      Shigeki Akiyama and Pierre Arnoux
    • Total Pages
      453
    • Publisher
      Springer Nature Switzerland
    • ISBN
      9783030576653
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Book] Numeration and Substitution 2014, 数理研講究録別冊 B462014

    • Author(s)
      Shigeki Akiyama, Valerie Bertha, Takao Komatsu, Hui Rao 編
    • Total Pages
      247
    • Publisher
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Book] Summer School on the Theory of Uniform Distribution. Papers from the school held in Kyoto, August 23-25, 20102012

    • Author(s)
      秋山茂樹
    • Total Pages
      118
    • Publisher
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Book] Probability and Number Theory-Kanazawa 20052008

    • Author(s)
      S. Akiyama, K. Matsumoto, L. Murata, H. Sugita(編)
    • Total Pages
      558
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Book] Advanced Studies in Pure Mathematics2007

    • Author(s)
      S.Akiyama,K. Matsumoto, L. Murata, H. Sugita
    • Total Pages
      49
    • Publisher
      Probability and Number Theory-Kanazawa 2005, Ed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Width Deviation of Convex Polygons2023

    • Author(s)
      Akiyama Shigeki、Kamae Teturo
    • Journal Title

      Discrete & Computational Geometry

      Volume: - Issue: 4 Pages: 1403-1428

    • DOI

      10.1007/s00454-023-00545-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03528, KAKENHI-PROJECT-21H00989
  • [Journal Article] Curious congruences for cyclotomic polynomials2022

    • Author(s)
      Akiyama Shigeki、Kaneko Hajime
    • Journal Title

      Research in Number Theory

      Volume: 8 Issue: 4

    • DOI

      10.1007/s40993-022-00410-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03439, KAKENHI-PROJECT-20K03528, KAKENHI-PROJECT-17K05159
  • [Journal Article] Periodic expansion of one by Salem numbers2022

    • Author(s)
      AKIYAMA SHIGEKI、HICHRI HACHEM
    • Journal Title

      Ergodic Theory and Dynamical Systems

      Volume: - Issue: 9 Pages: 1-22

    • DOI

      10.1017/etds.2022.66

    • Data Source
      KAKENHI-PROJECT-20K03528, KAKENHI-PROJECT-17K05159
  • [Journal Article] Asymptotic formula for balanced words2022

    • Author(s)
      Akiyama Shigeki
    • Journal Title

      Journal of Number Theory

      Volume: 236 Pages: 144-159

    • DOI

      10.1016/j.jnt.2021.07.014

    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Journal Article] Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers2021

    • Author(s)
      Shigeki Akiyama, Hajime Kaneko
    • Journal Title

      Advances in Mathematics

      Volume: 380 Pages: 107547-107547

    • DOI

      10.1016/j.aim.2020.107547

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03439, KAKENHI-PROJECT-20K03528
  • [Journal Article] On arithmetic progressions in non-periodic self-affine tilings2021

    • Author(s)
      NAGAI YASUSHI、AKIYAMA SHIGEKI、LEE JEONG-YUP
    • Journal Title

      Ergodic Theory and Dynamical Systems

      Volume: 59 Issue: 9 Pages: 1-33

    • DOI

      10.1017/etds.2021.59

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159, KAKENHI-PROJECT-20K03528
  • [Journal Article] Minimum polyhedron with $n$ vertices2021

    • Author(s)
      Akiyama Shigeki
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 51 Issue: 2 Pages: 111-137

    • DOI

      10.32917/h2018079

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] Pure discrete spectrum and regular model sets in d-dimensional unimodular substitution tilings2020

    • Author(s)
      Lee Dong-il、Akiyama Shigeki、Lee Jeong-Yup
    • Journal Title

      Acta Crystallographica Section A Foundations and Advances

      Volume: 76 Issue: 5 Pages: 600-610

    • DOI

      10.1107/s2053273320009717

    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] Spiral Delone sets and three distance theorem2020

    • Author(s)
      Akiyama Shigeki
    • Journal Title

      Nonlinearity

      Volume: 33 Issue: 5 Pages: 2533-2540

    • DOI

      10.1088/1361-6544/ab74ad

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05159, KAKENHI-PROJECT-20K03528
  • [Journal Article] Topology of planar self-affine tiles with collinear digit set2020

    • Author(s)
      Akiyama Shigeki、Loridant Benoit、Thuswaldner Joerg
    • Journal Title

      Journal of Fractal Geometry

      Volume: 8 Issue: 1 Pages: 53-93

    • DOI

      10.4171/jfg/98

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Journal Article] Yet Another Characterization of the Pisot Substitution Conjecture2020

    • Author(s)
      Mercat Paul、Akiyama Shigeki
    • Journal Title

      Lecture Note in Mathematics

      Volume: 2273 Pages: 397-448

    • DOI

      10.1007/978-3-030-57666-0_8

    • ISBN
      9783030576653, 9783030576660
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Journal Article] Generic point equivalence and Pisot numbers2019

    • Author(s)
      AKIYAMA SHIGEKI、KANEKO HAJIME、KIM DONG HAN
    • Journal Title

      Ergodic Theory and Dynamical Systems

      Volume: - Issue: 12 Pages: 3169-3180

    • DOI

      10.1017/etds.2019.46

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03439, KAKENHI-PROJECT-17H02849
  • [Journal Article] Corona limits of tilings: Periodic case2019

    • Author(s)
      S Akiyama, J Caalim, K Imai, H Kaneko
    • Journal Title

      Discrete & Computational Geometry

      Volume: 61(3) Issue: 3 Pages: 626-652

    • DOI

      10.1007/s00454-018-0033-x

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K00015, KAKENHI-PROJECT-17K05159, KAKENHI-PROJECT-15K17505, KAKENHI-PROJECT-17H02849
  • [Journal Article] Higher Order Oscillation and Uniform Distribution,2019

    • Author(s)
      Shigeki Akiyama and Yunping Jiang
    • Journal Title

      Uniform Distribution Theory

      Volume: 14 Issue: 1 Pages: 1-9

    • DOI

      10.2478/udt-2019-0001

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] On subtrees of the representation tree in rational base numeration systems2018

    • Author(s)
      Shigeki Akiyama, Victor Marsault, Jacques Sakarovitch
    • Journal Title

      Discrete Mathematics & Theoretical Computer Science

      Volume: 20:1 Issue: Analysis of Algorithms Pages: 1-33

    • DOI

      10.23638/DMTCS-20-1-10

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] On the Hausdorff Dimension of Bernoulli Convolutions2018

    • Author(s)
      Shigeki Akiyama, De-Jun Feng, Tom Kempton, Tomas Persson
    • Journal Title

      International Mathematics Research Notices

      Volume: 3 Sep Issue: 19 Pages: 1-23

    • DOI

      10.1093/imrn/rny209

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159, KAKENHI-PROJECT-17H02849
  • [Journal Article] Strongly non-periodic hyperbolic tilings using a single vertex configuration, Hiroshima Mathatical Journal, Vol 48, No. 22018

    • Author(s)
      Kazushi Ahara, Shigeki Akiyama, Hiroko Hayashi and Kazushi Komatsu
    • Journal Title

      Hiroshima Mathatical Journal

      Volume: 48 Pages: 133-140

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] On Nearly Linear Recurrence Sequences2017

    • Author(s)
      Akiyama Shigeki, Evertse Jan-Hendrik, Pethoe Attila
    • Journal Title

      Number Theory, Diophantine Problems, Uniform Distribution and Applications

      Volume: - Pages: 1-24

    • DOI

      10.1007/978-3-319-55357-3_1

    • ISBN
      9783319553566, 9783319553573
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] Boundary parametrization and the topology of tiles2017

    • Author(s)
      Akiyama Shigeki, Loridant Benoit
    • Journal Title

      Nagoya Mathematical Journal

      Volume: 226 Pages: 127-164

    • DOI

      10.1017/nmj.2016.43

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Journal Article] Rotational beta expansion: Ergodicity and Soficness2017

    • Author(s)
      Shigeki Akiyama and Jonathan Caalim
    • Journal Title

      Journal of the Mathematical Sociedy of Japan

      Volume: Not available

    • NAID

      130005310478

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Journal Article] Invariant Measure of Rotational Beta Expansion and Tarski’s Plank Problem2017

    • Author(s)
      Akiyama Shigeki, Caalim Jonathan
    • Journal Title

      Discrete and Computational Geometry

      Volume: 57 Issue: 2 Pages: 357-370

    • DOI

      10.1007/s00454-016-9849-4

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159, KAKENHI-PROJECT-17H02849
  • [Journal Article] Strong coincidence and overlap coincidence2016

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Discrete and Continuous Dynamical System - A

      Volume: 印刷中

    • NAID

      120007129305

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Rotational beta expansion: Ergodicity and Soficness2016

    • Author(s)
      Shigeki Akiyama and Jonathan Caalim
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 印刷中

    • NAID

      130005310478

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Comments on the height reducing property II2015

    • Author(s)
      Shigeki Akiyama, Joerg Thuswaldner and Toufik Zaimi
    • Journal Title

      Indagationes Mathematicae

      Volume: 26 Issue: 1 Pages: 28-39

    • DOI

      10.1016/j.indag.2014.07.002

    • NAID

      120007136476

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Characterization of the numbers which satisfy the height reducing property2015

    • Author(s)
      Shigeki Akiyama, Joerg Thuswaldner and Toufik Zaimi
    • Journal Title

      Indagationes Mathematicae

      Volume: 26 Issue: 1 Pages: 24-27

    • DOI

      10.1016/j.indag.2014.03.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Determining pure discrete spectrum on some self-affine tilings2014

    • Author(s)
      Shigeki Akiyama, Franz Gaehler and Jeong-Yup Lee
    • Journal Title

      Discrete Mathematics and Theoretical Computer Science

      Volume: 16 Pages: 305-316

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Overlap coincidence to strong coincidence in substitution tiling dynamics2014

    • Author(s)
      Shigeki Akiyama and Jeong-Yup Lee
    • Journal Title

      European Journal of Combinatorics

      Volume: 39 Pages: 233-243

    • DOI

      10.1016/j.ejc.2014.01.009

    • NAID

      120007136736

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] A family of non-sofic beta expansions2014

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Ergodic Theory and Dynamical Systems

      Volume: - Issue: 2 Pages: 1-12

    • DOI

      10.1017/etds.2014.60

    • NAID

      120007135447

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] On the distribution of polynomials with bounded roots II. Polynomials with integer coefficients2014

    • Author(s)
      Shigeki Akiyama and Attila Petho
    • Journal Title

      Uniform Distribution Theory

      Volume: 9 Pages: 5-19

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Mean divisibility of multinomial coefficients2014

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Journal of Number Theory

      Volume: 136 Pages: 438-459

    • DOI

      10.1016/j.jnt.2013.10.005

    • NAID

      120007130548

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Correlation clustering of graphs and integers2014

    • Author(s)
      Shigeki Akiyama, Laszlo Aszalos, Lajos Hajdu, Attila Pethoe
    • Journal Title

      Infocommunication Journal

      Volume: 6 Pages: 3-12

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] On the least common multiple of Lucas subsequences2013

    • Author(s)
      Shigeki Akiyama and Florian Luca
    • Journal Title

      Acta Arithmetica

      Volume: 161 Issue: 4 Pages: 327-349

    • DOI

      10.4064/aa161-4-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Discretized rotation has infinitely many periodic orbits2013

    • Author(s)
      Shigeki Akiyama and Attila Petho
    • Journal Title

      NonLinearity

      Volume: 26 Issue: 3 Pages: 871-880

    • DOI

      10.1088/0951-7715/26/3/871

    • NAID

      120007137059

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Isometries of the special orthogonal group2013

    • Author(s)
      Toshikazu Abe, Shigeki Akiyama and Osamu Hatori
    • Journal Title

      Linear Algerba and Its Applications

      Volume: 439 Issue: 1 Pages: 174-188

    • DOI

      10.1016/j.laa.2013.03.008

    • NAID

      120007136918

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540190, KAKENHI-PROJECT-24540012
  • [Journal Article] Discrete Spectra and Pisot numbers2013

    • Author(s)
      Shigeki Akiyama and Vilmos Komornik
    • Journal Title

      Journal of Number Theory

      Volume: 133 Issue: 2 Pages: 375-390

    • DOI

      10.1016/j.jnt.2012.07.015

    • NAID

      120007137130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Primitive matrices over polynomial semirings2012

    • Author(s)
      S. Akiyama and H. Brunotte
    • Journal Title

      Linear Algebra and its Applications

      Volume: Vol.436 No.9 Pages: 3568-3596

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] A note on aperiodic Ammann tiles2012

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Discrete & Computational Geometry

      Volume: 48 Issue: 3 Pages: 702-710

    • DOI

      10.1007/s00454-012-9418-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Height reducing problem on algebraic integers2012

    • Author(s)
      Shigeki Akiyama, Paulius Drungilas and Jonas Jankauskas
    • Journal Title

      Functiones et Approximatio

      Volume: 47-1 Pages: 105-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Browder's convergence for one-parameter nonexpansive semigroups2012

    • Author(s)
      Shigeki Akiyama, Tomonari Suzuki
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 55 Issue: 1 Pages: 15-25

    • DOI

      10.4153/cmb-2011-071-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540189, KAKENHI-PROJECT-24540012
  • [Journal Article] Browder's convergence for one-parameter nonexpansive semigroups2012

    • Author(s)
      S. Akiyama and T. Suzuki
    • Journal Title

      Canad. Math. Bull

      Volume: Vol.55(1) Pages: 15-25

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Primitive matrices over polynomial semirings2012

    • Author(s)
      Shigeki Akiyama and Horst Brunotte
    • Journal Title

      Linear Algebra and its Applications

      Volume: 436-9 Issue: 9 Pages: 3568-3596

    • DOI

      10.1016/j.laa.2011.12.029

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Journal Article] Boundary parametrization of self-affine tiles2011

    • Author(s)
      S. Akiyama and B. Loridant
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: vol.63, no.2 Pages: 525-579

    • NAID

      10029321663

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Similar dissection of sets2011

    • Author(s)
      S. Akiyama, J. Luo, R. Okazaki, W. Steiner and J. Thuswaldner
    • Journal Title

      Geometriae Dedicata

      Volume: vol.150 Pages: 233-247

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Determining quasicrystal structures on substitution tilings2011

    • Author(s)
      Shigeki Akiyama, Jeong-Yup Lee
    • Journal Title

      Philosophical Magazine

      Volume: 91 Issue: 19-21 Pages: 2709-2717

    • DOI

      10.1080/14786435.2010.513694

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Boundary parametrization of self-affine tiles2011

    • Author(s)
      higeki Akiyama, Benoit Loridan
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 63 Issue: 2 Pages: 525-579

    • DOI

      10.2969/jmsj/06320525

    • NAID

      10029321663

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Algorithm for determining pure pointedness of self-affine tilings2011

    • Author(s)
      S. Akiyama and J.-Y. Lee
    • Journal Title

      Advances in Mathematics

      Volume: 226 Pages: 2855-2883

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Determining quasicrystal structures on substitution tilings2011

    • Author(s)
      S. Akiyama and J.-Y. Lee
    • Journal Title

      Philosophical Magazine

      Volume: vol.91, No.19 Pages: 2709-2717

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Similar dissection of sets2010

    • Author(s)
      S.Akiyama, J.Luo, R.Okazaki, W.Steiner, J.Thuswaldner
    • Journal Title

      Geometriae Dedicata (To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Boundary parametrization of planar self-affine tiles with collinear digit set2010

    • Author(s)
      Shigeki Akiyama, Benoit Loridant
    • Journal Title

      Science China Math

      Volume: 53 Pages: 2173-2194

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Boundary parametrization of planar self-affine tiles with collinear digit set2010

    • Author(s)
      S. Akiyama and B. Loridant
    • Journal Title

      Science China Math

      Volume: No.9 Pages: 2173-2194

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] On the fundamental group of the Sierpinski-gasket2009

    • Author(s)
      S. Akiyama, G. Dorfer, R. Winkler and J. Thuswaldner
    • Journal Title

      Topology and its applications

      Volume: Vol.156 Pages: 1655-1672

    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] On the fundamental group of the Sierpinski-gastket, Topology and its applications2009

    • Author(s)
      S.Akiyama, G.Dorfer, R.Winkler, J.Thuswaldner
    • Journal Title

      Topology and its application 156

      Pages: 1655-1672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Journal Article] Powers of rationals modulo 1 and rational base number systems2008

    • Author(s)
      S. Akiyama, Ch.Frougny, J. Sakarovitch
    • Journal Title

      Israel Journal of Mathematics Vol.168 No.1

      Pages: 53-91

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Constructions of Pisot and Salem numbers with flat palindromes2008

    • Author(s)
      S. Akiyama, D.Y. Kwon
    • Journal Title

      Monatshefte fur Mathematik Vol.155

      Pages: 265-275

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions2008

    • Author(s)
      S. Akiyama, G. Barat, V. Berthe, A. Siegel
    • Journal Title

      Monatshefte fur Mathematik Vol.155

      Pages: 377-419

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Periodicity of certain piecewise affine planar maps2008

    • Author(s)
      S. Akiyama, H. Brunotte, A. Petho, W. Steiner
    • Journal Title

      Tsukuba J. Math Vol.32, no.1

      Pages: 197-251

    • NAID

      120005848488

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Generalized radix representations and dynamical systems III2008

    • Author(s)
      Shigeki Akiyama, Horst Brunotte, Attila Petho, Jorg Thuswaldner
    • Journal Title

      Osaka Journal of Mathematics 45

      Pages: 347-374

    • NAID

      120005986730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Constructions of Pisot and Salem numbers with flat palindromes2008

    • Author(s)
      Shigeki Akiyama, DoYong Kwon
    • Journal Title

      Monatshefte fur Mathematik 155

      Pages: 265-275

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions2008

    • Author(s)
      Shigeki Akiyama, Guy Barat, Valerie Berthe, Anne Siegel
    • Journal Title

      Monatshefte fur Mathematik 155

      Pages: 377-419

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Periodicity of certain piecewise affine planar maps2008

    • Author(s)
      Shigeki Akiyama, Horst Brunotte, Attila Petho, Wolfgang Steiner
    • Journal Title

      Tsukuba Journal of Mathematics 32

      Pages: 197-251

    • NAID

      120005848488

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Powers of rationals modulo l and rational base number systems2008

    • Author(s)
      Shigeki Akiyama, Christiane Frougny, Jacgues Sakarovitch
    • Journal Title

      Israel Journal of Mathematics 168

      Pages: 53-91

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Generalized radix representations and dynamical systems III2008

    • Author(s)
      S. Akiyama, H. Brunotte, A. Petho, J. Thuswaldner
    • Journal Title

      Osaka Journal of Mathematics Vol.45 No.2

      Pages: 347-374

    • NAID

      120005986730

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Recursively renewable words and coding of irrational rotations2007

    • Author(s)
      S. Akiyama and M. Shirasaka
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 1199-1234

    • NAID

      10019989431

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540126
  • [Journal Article] Symmetric shift radix systems and finite expansions2007

    • Author(s)
      S. Akiyama, K. Scheicher
    • Journal Title

      Mathematica Pannonica 18

      Pages: 101-124

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540126
  • [Journal Article] Recursively renewable words and coding of irrational rotations, J. Math2007

    • Author(s)
      S. Akiyama and M. Shirasaka
    • Journal Title

      Soc. Japan 59 no.4

      Pages: 1199-1234

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Pisot number syetem and its dual tiling2007

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      'Physics and Theoretical Computer Science', IOS press 7

      Pages: 133-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Recursively renewable words and coding of irrational rotations2007

    • Author(s)
      S. Akiyama and M. Shirasaka
    • Journal Title

      Journal of the Mathematical Society of Japan 59・4

      Pages: 1199-1234

    • NAID

      10019989431

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Pisot number syetem and its dual tiling, 'Physics and Theoretical Computer Science', ed. By J.P. Gazeau et al2007

    • Author(s)
      S. Akiyama
    • Journal Title

      IOS Press

      Pages: 133-154

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Symmetric shift radix systems and finite expansions2007

    • Author(s)
      Shigeki Akiyama and Klaus Scheicher
    • Journal Title

      Mathematica Pannonica 18・1

      Pages: 101-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Recursively renewable words and coding of irrational rotations2007

    • Author(s)
      S. Akiyama, M. Shirasaka
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 1199-1234

    • NAID

      10019989431

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540126
  • [Journal Article] Reducible cubic CNS polynomials2007

    • Author(s)
      Shigeki Akiyama, Horst Brunotte and Attila Petho,
    • Journal Title

      Periodica Mathematica Hungarica 55・2

      Pages: 177-183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Symmetric shift radix systems and finite expansions2007

    • Author(s)
      S. Akiyama and K. Scheicher
    • Journal Title

      Mathematica Pannonica 18

      Pages: 101-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540126
  • [Journal Article] Pisot number system and its dual tiling2007

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Physics and Theoretical Computer Science

      Pages: 133-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340023
  • [Journal Article] Remarks on a conjecture on certain integer sequences2006

    • Author(s)
      Shigeki Akiyama, Horst Brunotte, Attila Petho, Wolfgang Steiner
    • Journal Title

      Periodica Math. Hungarica 52・1

      Pages: 1-17

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Remarks on a conjecture on certain integer sequences2006

    • Author(s)
      S. Akiyama, H. Brunotte, A. Petho, Wolfgang Steiner
    • Journal Title

      Periodica Math. Hungar 52

      Pages: 1-17

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Positive finiteness of number systems, in 'Number Theory' Tradition and Modernization, (Developments in Mathematics 15)2006

    • Author(s)
      S. Akiyama
    • Journal Title

      Springer

      Pages: 1-10

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Basic properties of shift radix systems2006

    • Author(s)
      Shigeki Akiyama, Tibor Borbely, Horst Brunotte, Attila Petho, Jorg Thuswaldner
    • Journal Title

      Acta Math. Acad. Paedagog. Nyhazi 22・1

      Pages: 19-25

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Generalized radix representations and dynamical systems II2006

    • Author(s)
      S. Akiyama, H. Brunotte, A. Petho, J. Thuswaldner
    • Journal Title

      Acta Arith 121

      Pages: 21-61

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Generalized radix representations and dynamical systems II2006

    • Author(s)
      秋山 茂樹
    • Journal Title

      Acta Arith. 121

      Pages: 21-61

    • Data Source
      KAKENHI-PROJECT-18340023
  • [Journal Article] Positive finiteness of number systems2006

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Number Theory : Tradition and Modernization, Developments in Mathematics, Springer 15

      Pages: 1-10

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] Remarks on a conjecture on certain integer sequences2006

    • Author(s)
      S.Akiyama, H.Brunotte, A.Petho, W.Steiner
    • Journal Title

      Periodica Math. Hungarica 52

      Pages: 1-17

    • Data Source
      KAKENHI-PROJECT-18540126
  • [Journal Article] Generalized radix representations and dynamical system II2006

    • Author(s)
      S.Akiyama, H.Brunotte, A.Petho, J.Thuswaldner
    • Journal Title

      Acta Arith. 121

      Pages: 21-61

    • Data Source
      KAKENHI-PROJECT-18540126
  • [Journal Article] Basic properties of shift radix systems2006

    • Author(s)
      秋山 茂樹
    • Journal Title

      Acta Math. Acad. Paedagog. Nyhazi 22・1

      Pages: 19-25

    • Data Source
      KAKENHI-PROJECT-18340023
  • [Journal Article] On the Topological Structure of Fractal Tilings Generated by Quadratic Number Systems2005

    • Author(s)
      S.Akiyama, J.Thuswaldner
    • Journal Title

      Comput.Math.Appl. 49

      Pages: 1439-1485

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540067
  • [Journal Article] Generalized radix representations and dynamical systems II2005

    • Author(s)
      Shigeki Akiyama, Horst Brunotte, Attila Petho, Jorg Thuswaldner
    • Journal Title

      Acta Arithmetica 121・1

      Pages: 21-61

    • Data Source
      KAKENHI-PROJECT-18540020
  • [Journal Article] On the Topological Structure of Fractal Tilings Generated by Quadratic Number Systems2005

    • Author(s)
      秋山 茂樹
    • Journal Title

      Computers and Mathematics with Applications 49

      Pages: 1439-1485

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540067
  • [Journal Article] Salem numbers and uniform distribution modulo 12004

    • Author(s)
      S.Akiyama, Y.Tanigawa
    • Journal Title

      Publ.Math.Debrecen 64

      Pages: 329-341

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540021
  • [Journal Article] A certain finiteness property of Pisot number systems2004

    • Author(s)
      Shigeki Akiyama, Hui Rao, Wolfgang Steiner
    • Journal Title

      Journal of Number Theory vol.107-1

      Pages: 135-160

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] On the connectedness of self-affine tilings2004

    • Author(s)
      Shigeki Akiyama, Nertila Gjini
    • Journal Title

      Archiv der Math. vol.82

      Pages: 153-163

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] Salem numbers and uniform distribution modulo 12004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Publicationes Mathematicae Debrecen 64,3-4

      Pages: 329-341

    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] New criteria for canonical number systems2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Acta Arithmetica 111, 1

      Pages: 5-25

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] 記号力学系と数系タイル張り2004

    • Author(s)
      秋山茂樹
    • Journal Title

      雑誌「数学」 (日本数学会) 56, 4

      Pages: 351-365

    • NAID

      10013753684

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] Symbolic dynamical system and tilings associated to number systems2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Sugaku vol.56 No.4

      Pages: 351-365

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] New criteria for canonical number systems2004

    • Author(s)
      Shigeki Akiyama, Rao Hui
    • Journal Title

      Acta Arith. vol.111, no.1

      Pages: 5-25

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] Salem numbers and uniform distribution mod 12004

    • Author(s)
      S.Akiyama, Y.Tanigawa
    • Journal Title

      Publ.Math.Debrecen 64

      Pages: 329-341

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540021
  • [Journal Article] 記号力学系と数系タイル張り2004

    • Author(s)
      秋山茂樹
    • Journal Title

      雑誌「数学」(日本数学会) 56,4

      Pages: 351-365

    • NAID

      10013753684

    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] On the connectedness of self-affine tilings2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Archiv der Mathematik 82,2

      Pages: 153-163

    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] On boundary connectedness of connected tiles2004

    • Author(s)
      Jun Luo, Shigeki Akiyama, Joerg Thuswaldner
    • Journal Title

      Math.Proc.Cambridge Phil.Soc. vol.137, no.2

      Pages: 397-410

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] A certain finiteness property of Pisot number systems2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Journal of Number Theory 107,1

      Pages: 135-160

    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] Salem numbers and uniform distribution modulo 12004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Publicationes Mathematicae Debrecen 64, 3-4

      Pages: 329-341

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] A certain finiteness property of Pisot number systems2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Journal of Number Theory 107, 1

      Pages: 135-160

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] New criteria for canonical number systems2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Acta Arithmetica 111,1

      Pages: 5-25

    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] On the connectedness of self-affine tilings2004

    • Author(s)
      Shigeki Akiyama
    • Journal Title

      Archiv der Mathematik 82, 2

      Pages: 153-163

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Journal Article] Salem numbers and uniform distribution modulo 12004

    • Author(s)
      Shigeki Akiyama, Yoshio Tanigawa
    • Journal Title

      Publ.Math.Debrecen vol.64/3-4

      Pages: 329-341

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540015
  • [Presentation] Markoff-Lagrange spectrum and symbolic dynamical system2023

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Trends in Metric Number Theory (Bendigo)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Multiplicative Markoff-Lagrange spectrum and symbolic dynamics2023

    • Author(s)
      Shigeki Akiyama
    • Organizer
      International Conference of Fractal Geometry and Related Topics (HongKong)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Markoff-Lagrange Spectrum and symbolic dynamics2023

    • Author(s)
      Shigeki Akiyama
    • Organizer
      NCTS Workshop on Dynamical System (Taipei)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Multiplicative Lagrange Spectrum and symbolic dynamics2022

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory Conference 2022
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Multiplicative Lagrange Spectrum and Symbolic Dynamics2022

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory Conference 2022
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Markoff-Lagrange spectrum and symbolic dynamical system2022

    • Author(s)
      Shigeki Akiyama
    • Organizer
      冬の力学系研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Coding of irrational rotation and the graph of Sh.Yasutomi2022

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Mathematics of quasiperiodic order and related topics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Coding of irrational rotation and the graph of Sh.Yasutomi2022

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Mathematics of quasiperiodic order and related topics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Counting balanced words and related problems2021

    • Author(s)
      Shigeki Akiyama
    • Organizer
      One world numeration seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Arithmetic progressions in self-similar tilings2020

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Mathematics of quasiperiodic systems and related topics
    • Data Source
      KAKENHI-PROJECT-20K03528
  • [Presentation] Arithmetic progressions in self-similar tilings2020

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Mathematics of quasiperiodic systems and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Spiral Delone set2019

    • Author(s)
      S. Akiyama
    • Organizer
      Equidistribution: Arithmetic, Computational and Probabilistic Aspects
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Multiplicative analogue of Markoff-Lagrange spectra2019

    • Author(s)
      Shigeki Akiyama
    • Organizer
      FWF-JSPS Joint Project I3346 Project meeting, Austria
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Spiral Delone set2019

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Equidistribution: Arithmetic, Computational and Probabilistic Aspects
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Delone sets of Spirals2019

    • Author(s)
      Shigeki Akiyama
    • Organizer
      MATRIX Program: Aperiodic Order Meets Number Theory, Australia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] A criterion for almost periodicity of sequences2019

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory and Dynamics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] A criterion for almost periodicity of substitutive systems2018

    • Author(s)
      Shigeki Akiyama
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Taipei
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] A criterion for almost periodicity of substitutive systems2018

    • Author(s)
      S. Akiyama
    • Organizer
      The 12th AIMS Conference on Dynamical Systems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] On minimal convex polyhedra2018

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Tilings, quasiperiodicity and related topics, RIMS, Kyoto
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Corona Limit of tilings2018

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Fractal and dynamical system workshop,Guangzhou
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Around discretized rotation2017

    • Author(s)
      秋山 茂樹
    • Organizer
      Numeration 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Around discretized rotation2017

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Numeration 2017 (Rome)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Beta-expansions and Self-affine Tilings2017

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Modern Trends in Mathematical Crystallography (Manila)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Beta expansion and its extension2017

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on substitutions and tiling spaces (Vienna)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Nearly recursive sequences2017

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory and Dynamics (Korea)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05159
  • [Presentation] Some class of non-sofic beta numbers2016

    • Author(s)
      Shigeki Akiyama
    • Organizer
      数論とエルゴード理論
    • Place of Presentation
      金沢大学サテライトプラザ(石川県金沢市)
    • Year and Date
      2016-02-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Rotational beta expansion and self-similar tilings2016

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Substitutions and continued fractions
    • Place of Presentation
      Paris, France
    • Year and Date
      2016-03-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Rotational Beta Expansion and Self-similar Tilings2016

    • Author(s)
      Shigeki Akiyama
    • Organizer
      1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas
    • Place of Presentation
      Hong Kong University of Science and Technology,Hong Kong, China
    • Year and Date
      2016-03-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Rotational beta expansion and self-similar tilings2016

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop Substitutions and continued fractions
    • Place of Presentation
      Paris, France
    • Year and Date
      2016-03-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Rotational beta expansion and self-similar tilings2016

    • Author(s)
      Shigeki Akiyama
    • Organizer
      The 1-st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas
    • Place of Presentation
      香港科技大学, China
    • Year and Date
      2016-03-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Quasi-crystal generated by polynomials: Erdos's problem2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Aperiodic tile sets and related topics
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-10-21
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Beta expansion involving rotational action2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Measurable and Topological Dynamical System
    • Place of Presentation
      Daejeong, Korea
    • Year and Date
      2015-07-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Invariant measures of rotational beta expansions2015

    • Author(s)
      秋山茂樹
    • Organizer
      華中科技大学セミナー
    • Place of Presentation
      華中科技大学, 中国
    • Year and Date
      2015-03-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Almost periodicity and coincidences in tiling dynamics I, II2015

    • Author(s)
      秋山茂樹
    • Organizer
      研究集会「数論とエルゴード理論」
    • Place of Presentation
      金沢大学
    • Year and Date
      2015-02-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] An Erdos problem on polynomials2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      エルゴード理論とその周辺
    • Place of Presentation
      慶応大学(神奈川県横浜市)
    • Year and Date
      2015-11-25
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Beta expansion with rotation2015

    • Author(s)
      秋山茂樹
    • Organizer
      華中師範大学セミナー
    • Place of Presentation
      華中師範大学, 中国
    • Year and Date
      2015-03-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Beta expansion with rotation2015

    • Author(s)
      秋山茂樹
    • Organizer
      Workshop on "beta-transformation and related topics"
    • Place of Presentation
      九州大学
    • Year and Date
      2015-03-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Invariant measures of rotational beta expansions2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Fractal and Numeration
    • Place of Presentation
      Admont, Austria
    • Year and Date
      2015-06-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] A problem of Tarski and invariant measure of rotational beta transform2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Mini Workshop on Symbolic Dynamics and Related Topics
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2015-10-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Topology of tiles and boundary parametrization2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Sino-Japan Workshop on Dynamic Systems and Fractals
    • Place of Presentation
      Nimbo, China
    • Year and Date
      2015-12-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Descretized rotation : Does digital analogy approximate the real world ?2015

    • Author(s)
      Shigeki Akiyama
    • Organizer
      CUHK Colloquium
    • Place of Presentation
      香港中文大, China
    • Year and Date
      2015-09-11
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Beyond the Pisot Conjecture: an outlook2014

    • Author(s)
      秋山茂樹
    • Organizer
      Lorenz Center Workshop
    • Place of Presentation
      Lorenz Center Workshop, オランダ
    • Year and Date
      2014-09-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Discretized Rotation: Intersection of number theory and dynamical system2014

    • Author(s)
      秋山茂樹
    • Organizer
      International Conference of Discrete Mathematics and Applied Sciences
    • Place of Presentation
      University of the Thai Chamber of Commerce, Thai
    • Year and Date
      2014-05-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Mathematics on quasi-crystal structure2014

    • Author(s)
      秋山茂樹
    • Organizer
      Sapporo summer conference on dynamics of patterns in materials science
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-08-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Beyond the Pisot Conjecture: an outlook2014

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop, The Pisot Conjecture
    • Place of Presentation
      Lorenz Center, Netherland
    • Year and Date
      2014-09-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] 概周期構造とタイル張り力学系2014

    • Author(s)
      秋山茂樹
    • Organizer
      研究集会「複素解析的ベクトル場・葉層構造とその周辺」
    • Place of Presentation
      京都教育大
    • Year and Date
      2014-12-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] 準結晶の数理とタイル張り2014

    • Author(s)
      秋山茂樹
    • Organizer
      東北大WPI-AIMRセミナー
    • Place of Presentation
      東北大WPI-AIMR
    • Year and Date
      2014-06-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] 置換規則の力学系2013

    • Author(s)
      Shigeki Akiyama
    • Organizer
      京都大学集中講義
    • Place of Presentation
      京都大学理学部数学教室(京都)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Numeration systems and associated tilings dynamical systems I,II,III2013

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Summer School `Number Theory and Dynamics'
    • Place of Presentation
      Grenoble University, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Discrete spectrum generated by polynomials,数論とエルゴード理論2012

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      金沢大学サテライト・プラザ
    • Year and Date
      2012-02-19
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Revisit aperiodic tiles of Ammann2012

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Tilings, substitutions, and Bratteli-Vershik transformations
    • Place of Presentation
      George Washington University(招待講演)
    • Year and Date
      2012-03-17
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Discrete Rotation and domain exchange2012

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Rainwater seminar
    • Place of Presentation
      University of Washington
    • Year and Date
      2012-03-13
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Revisit aperiodic tiles of Ammann Tilings, substitutions, and Bratteli-Vershik transformations2012

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      Spring 2012 Eastern Sectional Meeting of the AMS
    • Year and Date
      2012-03-17
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Domain exchange and 2-adic odometer,数論とエルゴード理論2011

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2011-02-19
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Domain exchange and 2-adic odometer2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Chinese National Conference of Fractal Theory and Dynamic System
    • Place of Presentation
      Zhangjiajie, Hunan, China(招待講演)
    • Year and Date
      2011-05-28
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] 3/2 number system and Mahler's problem2011

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      華南師範大学セミナー
    • Year and Date
      2011-05-26
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Why do piecewise isometries have Pisot scalings? Piecewise and Low-Dimensional Dynamics2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Warwick
    • Place of Presentation
      UK
    • Year and Date
      2011-07-06
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Why do piecewise isometries have Pisot scalings?2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Piecewise and Low-Dimensional Dynamics
    • Place of Presentation
      Warwick University, UK(招待講演)
    • Year and Date
      2011-07-06
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Domain exchange and 2-adic odometer2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Chinese National Conference of Fractal Theory and Dynamic System
    • Place of Presentation
      Zhangjiajie, Hunan, China
    • Year and Date
      2011-05-28
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] On the spectrum of{ 1, 0, 1} polynomials2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Diophatine Analysis and Related topics
    • Place of Presentation
      成蹊大学
    • Year and Date
      2011-03-05
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] On aperiodic tiles by Ammann2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      International Meeting on Number Theory
    • Place of Presentation
      HRI, Allahabad
    • Year and Date
      2011-12-16
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Domain exchange and 2-adic odometer2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      数論とエルゴード理論
    • Place of Presentation
      金沢大学
    • Year and Date
      2011-02-19
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] On aperiodic tiles by Ammann2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      International Meeting on Number Theory
    • Place of Presentation
      Allahabad, India(招待講演)
    • Year and Date
      2011-12-16
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Can we construct an easy mono-tile?2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Rigidity of self-affine tilings and related topics
    • Place of Presentation
      RIMS
    • Year and Date
      2011-12-22
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Points generated by polynomials with integer coefficients2011

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      中山大学セミナー
    • Year and Date
      2011-05-27
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Construction of self-affine tilings and their spectral properties2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on Mathematical Crystallography 2011
    • Place of Presentation
      Manila, Phillipine(招待講演)
    • Year and Date
      2011-11-04
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Discrete spectra generated by polynomials2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Numeration 2011
    • Place of Presentation
      Liege, Belgium
    • Year and Date
      2011-06-08
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] On the spectrum of {-1,0,1} polynomials2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Diophatine Analysis and Related topics
    • Place of Presentation
      成蹊大学
    • Year and Date
      2011-03-05
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Construction of self-affine tilings and their spectral properties2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on Mathematical Crystallography 2011
    • Place of Presentation
      Manila
    • Year and Date
      2011-11-04
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Domain exchange of logenze and 2-adic odometer2011

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Leoben University
    • Place of Presentation
      Austria
    • Year and Date
      2011-06-20
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pisot conjecture and finite cocycles,数理解析研究所プロジェクト2010

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      Japan-Korea Workshop on Number Theory and Ergodic Theory
    • Year and Date
      2010-07-26
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] What is Pisot conjecture?2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Numeration
    • Place of Presentation
      Leiden,オランダ
    • Year and Date
      2010-06-11
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pisot conjecture and tilings2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Substitutive Tiling and Fractal Geometry
    • Place of Presentation
      Guangzhou中国
    • Year and Date
      2010-07-06
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Determining pure discreteness of self-affine tiling dynamical systems2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on Dynamical Systems and Symbolic Dynamics
    • Place of Presentation
      Bielefeld, Germany
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Exploring self-affine tilings with and without coincidences2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      The Mathematics of Aperiodic Order, KIAS
    • Place of Presentation
      韓国
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Determining pure discreteness of self-affine tiling dynamical systems2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on Dynamical Systems and Symbolic Dynamics
    • Place of Presentation
      Bielefeld,ドイツ
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pisot conjecture and finite cocycles2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Japan-Korea Workshop on Number Theory and Ergodic Theory
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-07-26
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Exploring self-affine tilings with and without coincidences2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      The Mathematics of Aperiodic Order
    • Place of Presentation
      KIAS,韓国
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] How to determine pure discreteness of tiling dynamics2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Topologyand Computers 2010
    • Place of Presentation
      東工大
    • Year and Date
      2010-09-09
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] タイル張りとPisot数2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      香川セミナー
    • Place of Presentation
      香川大学
    • Year and Date
      2010-11-20
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] What is Pisot conjecture?2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Numeration
    • Place of Presentation
      Leidenオランダ
    • Year and Date
      2010-06-11
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Boundary parametrization2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Seminar On Tilings And Substitutions
    • Place of Presentation
      Marseille,フランス
    • Year and Date
      2010-03-19
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] タイル張りとPisot数2010

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      香川セミナー、香川大学教育学部
    • Year and Date
      2010-11-20
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Why automata in tiling?2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Seminar On Tilings And Substitutions
    • Place of Presentation
      Marseille,フランス
    • Year and Date
      2010-03-18
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] How to determine pure discreteness of tiling dynamics2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Topology and Computers 2010
    • Place of Presentation
      東京工業大学
    • Year and Date
      2010-09-09
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pisot conjecture and tilings2010

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Substitutive Tiling and Fractal Geometry
    • Place of Presentation
      広州、中国
    • Year and Date
      2010-07-06
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Potential overlap coincidence and fractal boundary2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      KMS-AMS meeting : Special Session 18 : Ergodic Theory and Dynamical Systems
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2009-12-18
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pentagonal tiling generated by a domain exchange2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on 'Fractals and Tilings'
    • Place of Presentation
      Strobl, Austria
    • Year and Date
      2009-07-09
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] 数論における自己相似性2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      明治大学
    • Year and Date
      2009-08-05
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Self-inducing structure and Pisot numbers2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      KIAS workshop
    • Place of Presentation
      KIAS, Korea
    • Year and Date
      2009-06-23
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Similar dissection of a planar set2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      KIASセミナー
    • Place of Presentation
      Seoul Korea
    • Year and Date
      2009-12-21
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] 3次の連分数と一般カタラン数2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      弘前大学理工学部セミナー
    • Place of Presentation
      弘前大学
    • Year and Date
      2009-04-21
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Overlap coincidence of self-similar tilings2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      エルゴード理論の最近の話題
    • Place of Presentation
      日本大学文理学部
    • Year and Date
      2009-11-09
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pure discrete tiling dynamical system and overlap algorithm2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      高知タイル貼り小研究集会
    • Year and Date
      2009-10-24
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pisot タイル張りチュートリアル2009

    • Author(s)
      S. Akiyama
    • Organizer
      CREST 連続講義
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pentagonal tiling generated by a domain exchange Workshop on' Fractals and Tilings'2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Strobl
    • Place of Presentation
      Austria
    • Year and Date
      2009-07-09
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Similar dissection of a planar set2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      KIASセミナー
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2009-12-21
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pentagonal domain exchange2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on Measurable and Topological Dynamical Systems in Asia
    • Place of Presentation
      Ajou University, Suwon, Korea
    • Year and Date
      2009-06-20
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Topology of tiles generated by number systems2009

    • Author(s)
      S. Akiyama
    • Organizer
      Diophantine Analysis and Related Fields 2009
    • Place of Presentation
      日本大学理工学部
    • Year and Date
      2009-03-01
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Overlap coincidence of self-similar tilings,エルゴード理論の最近の話題2009

    • Author(s)
      Shigeki Akiyama
    • Place of Presentation
      日本大文理
    • Year and Date
      2009-11-09
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Natural extension and periodic orbits of beta expansion I, II2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      連続講義
    • Place of Presentation
      連続講義全南大学(韓国)
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Parametrization of the boundary of self-similar tiles2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      全南大学コロキウム
    • Place of Presentation
      全南大学、Korea
    • Year and Date
      2009-12-11
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Pisot expansion in self-inducing systems2009

    • Author(s)
      S. Akiyama
    • Organizer
      Number Theory and Ergodic Theory 2009 January
    • Place of Presentation
      金沢大学
    • Year and Date
      2009-02-01
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 自己誘導構造とPisot数2009

    • Author(s)
      S. Akiyama
    • Organizer
      CREST談話会
    • Place of Presentation
      東北大学
    • Year and Date
      2009-01-10
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pisot expansion in self-inducing systerns2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory and Ergodic Theory 2009
    • Place of Presentation
      金沢大学
    • Year and Date
      2009-02-01
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Self-inducing structure and Pisot numbers2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Seminar at KIAS
    • Place of Presentation
      Korea
    • Year and Date
      2009-06-23
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Parametrization of the boundary of self-similar tiles2009

    • Author(s)
      Shigeki Akiyama
    • Organizer
      コロキウム
    • Place of Presentation
      全南大学(韓国)
    • Year and Date
      2009-12-11
    • Data Source
      KAKENHI-PROJECT-21540010
  • [Presentation] Shift radix system:a bridge between number theory and symbolic dynamics2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      International Conference on Uniform Distribution
    • Place of Presentation
      CIRM, France
    • Year and Date
      2008-01-21
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] On the pentagonal rotation sequence2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      General Colloquium
    • Place of Presentation
      Leiden大学 オランダ
    • Year and Date
      2008-06-05
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 楕円 L関数のRiemann予想と数値計算2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      L関数の値分布と関係する数論的な諸関数の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-07-02
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] On the pentagonal rotation sequence, General Colloquium2008

    • Author(s)
      S. Akiyama
    • Organizer
      Mathematisch Instituut
    • Place of Presentation
      Leiden Univ., Holland
    • Year and Date
      2008-06-05
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 楕円L関数のRiemann予想と数値計算, 数理解析研究所共同研究2008

    • Author(s)
      S. Akiyama
    • Organizer
      L関数の値分布と関係する数論的な諸関数の研究
    • Place of Presentation
      京都大学
    • Year and Date
      2008-07-02
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 準周期タイリング及びその関連する話題2008

    • Author(s)
      S. Akiyama
    • Organizer
      タイル張り力学系の一致条件とPisot 数I-V, 高知大学研究集会
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of irrational rotation, a different point of view.2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Conference on Fractal Geometry and Ergodic Theory
    • Place of Presentation
      北京科技大学 中国
    • Year and Date
      2008-11-01
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] タイル張り力学系の一致条件とPisot数 I-V2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      準周期タイリング及びその関連する話題
    • Place of Presentation
      高知大学
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Some applications of rational based number system2008

    • Author(s)
      S. Akiyama
    • Organizer
      Journees de Numeration 2008
    • Place of Presentation
      Prague TU, Czech
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 準周期離散構造の数学的(人工的)構成2008

    • Author(s)
      S. Akiyama
    • Organizer
      日本物理学会領域6 : 複雑秩序系における幾何学と物理
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Some applications of rational based number system2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Journees de Numeration 2008
    • Place of Presentation
      Prague工科大学, チェコ
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of irrational rotation, a different point of view2008

    • Author(s)
      S. Akiyama
    • Organizer
      Conference on Fractal Geometry and Ergodic Theory
    • Place of Presentation
      中国
    • Year and Date
      2008-11-01
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of domain exchange associated with discretized rotations2008

    • Author(s)
      S. Akiyama
    • Organizer
      第5回日中セミナー
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-08-28
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 準周期離散構造の数学的(人工的)構成2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pentagonal tiling and beta expansion associated to a domain exchange2008

    • Author(s)
      S. Akiyama
    • Organizer
      金沢大学ワークショップNumber Theory and Ergodic Theory
    • Place of Presentation
      金沢大学
    • Year and Date
      2008-04-27
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pure periodic orbits of non-unit Pisot beta expansion2008

    • Author(s)
      S. Akiyama
    • Organizer
      Workshop on `Fractal Geometry and Tiling' in Sun Yat-Sen University
    • Place of Presentation
      Guangzhou, China
    • Year and Date
      2008-07-19
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pure periodic orbits of non-unit Pisot beta expansion2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Fractal Geometry and Tiling
    • Place of Presentation
      Sun Yat-Sen University
    • Year and Date
      2008-07-19
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pentagonal tiling and beta expansion associated to a domain exchange2008

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory and Ergodic Theory 2008
    • Place of Presentation
      金沢大学
    • Year and Date
      2008-04-27
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Shift radix system : a bridge between number theory and symbolic dynamics2008

    • Author(s)
      S. Akiyama
    • Organizer
      International Conference on Uniform Distribution, CIRM
    • Place of Presentation
      Marseille(France)
    • Year and Date
      2008-01-21
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Discretized rotation and domain exchange2007

    • Author(s)
      S. Akiyama
    • Organizer
      Colloquium of Department of Math
    • Place of Presentation
      Goergia-Southern University,USA
    • Year and Date
      2007-03-09
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Several coincidence conditions in tiling dynamical system2007

    • Author(s)
      S. Akiyama
    • Organizer
      Spectral analysis of aperiodic structure and related topics
    • Place of Presentation
      Kyoto University
    • Year and Date
      2007-11-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540126
  • [Presentation] 準周期的タイル張りとその周辺2007

    • Author(s)
      S. Akiyama
    • Organizer
      数系タイリング(Delone 集合、タイルの定義)-I数系タイリング(マルコフ分割、トーラス同型)-II数理解析研究所共同研究
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of irrational rotation : recursively renewable structure2007

    • Author(s)
      S. Akiyama
    • Organizer
      数理解析研究所共同研究「解析的整数論とその周辺」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-10-19
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 離散回転列の周期性について2007

    • Author(s)
      Shigeki Akiyama
    • Organizer
      首都大学東京整数論セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2007-05-15
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pentagonal packing and S-adic system2007

    • Author(s)
      S. Akiyama
    • Organizer
      substitutions and tilings
    • Place of Presentation
      France
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] The prospect of Shift Radix System2007

    • Author(s)
      S. Akiyama
    • Organizer
      金沢大学ワークショップ「数論とエルゴード理論」
    • Place of Presentation
      金沢大学
    • Year and Date
      2007-09-29
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Recursive renewablity and primitive substitutiveness of rotation words2007

    • Author(s)
      S. Akiyama
    • Organizer
      AMS 2007 Spring Southeastern Section Meeting
    • Place of Presentation
      Davidson College, NC,USA
    • Year and Date
      2007-03-03
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of an irrational rotation, a different view2007

    • Author(s)
      Shigeki Akiyama
    • Organizer
      The 1-st Journees de Numeration
    • Place of Presentation
      Graz工科大学
    • Year and Date
      2007-04-20
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of irrational rotation: recursively renewable structure2007

    • Author(s)
      Shigeki Akiyama
    • Organizer
      解析的整数論とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-19
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Coding of an irrational rotation, a different view2007

    • Author(s)
      S. Akiyama
    • Organizer
      1-st Journees de Numeration
    • Place of Presentation
      TU Graz, Austria
    • Year and Date
      2007-04-20
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Several coincidence conditions in tiling dynamical system2007

    • Author(s)
      S. Akiyama
    • Organizer
      数理解析研究所共同研究「準周期構造のスペクトル解析と関連する話題」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-11-20
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Recursive renewable words and coding of rotation I,II2007

    • Author(s)
      S. Akiyama
    • Organizer
      金沢大学ワークショップ「数論とエルゴード理論」
    • Year and Date
      2007-02-12
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] The prospect of Shift Radix System2007

    • Author(s)
      Shigeki Akiyama
    • Organizer
      数論とエルゴード理論
    • Place of Presentation
      金沢大学
    • Year and Date
      2007-09-29
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 離散回転列の周期性について2007

    • Author(s)
      S. Akiyama
    • Organizer
      整数論セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2007-05-15
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pentagonal packing and S-adic system2007

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop "substitutions and tilings"
    • Place of Presentation
      Porquerolles, France
    • Year and Date
      2007-06-12
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Several coincidence conditions in tiling dynamical system2007

    • Author(s)
      Shigeki Akiyama
    • Organizer
      準周期構造のスペクトル解析と関連する話題
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-20
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Rational based number system and Mahler's problem2006

    • Author(s)
      S. Akiyama
    • Organizer
      日中セミナー
    • Place of Presentation
      Weihai, China
    • Year and Date
      2006-08-30
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Pisot dual tiling and shift radix system2006

    • Author(s)
      S. Akiyama
    • Organizer
      香港中文大学数学部セミナー
    • Place of Presentation
      中国
    • Year and Date
      2006-05-09
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 3/2 based number system2006

    • Author(s)
      S. Akiyama
    • Organizer
      第四回日中セミナー準備会
    • Place of Presentation
      近畿大学
    • Year and Date
      2006-07-16
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 3/2 number system and a problem of Mahler2006

    • Author(s)
      S. Akiyama
    • Organizer
      Rainwater Seminar
    • Place of Presentation
      ワシントン大, Seattle, USA
    • Year and Date
      2006-10-03
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 力学系理論の最近の発展2006

    • Author(s)
      S. Akiyama
    • Organizer
      離散回転に付随する領域交換,数理解析研究所シンポジウム
    • Place of Presentation
      京都大学
    • Year and Date
      2006-06-26
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Discretized rotation and domain exchange2006

    • Author(s)
      S. Akiyama
    • Organizer
      中山大学華南工科大学合同ワークショップ「Fractal and Tiling 2006」
    • Place of Presentation
      台湾
    • Year and Date
      2006-05-03
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] 3/2 number system and Mahler's problem2006

    • Author(s)
      S. Akiyama
    • Organizer
      International Conference on Number Theory
    • Place of Presentation
      HRI Allahabad, India
    • Year and Date
      2006-12-01
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Quasi periodic patterns and fractals2006

    • Author(s)
      S. Akiyama
    • Organizer
      Aperiodic 2006
    • Place of Presentation
      Zao, Miyagi
    • Year and Date
      2006-09-20
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Finiteness and periodicity of beta expansions-number theoretical and dynamical open problems, Numeration : Mathematics and Computer Science

    • Author(s)
      S. Akiyama
    • Organizer
      CIRM
    • Place of Presentation
      Marseille (France)
    • Data Source
      KAKENHI-PROJECT-18540020
  • [Presentation] Height reducing problem

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Number Theory Seminer
    • Place of Presentation
      Leiden University, Netherland
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] On Shift Radix Systems

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Periodic Orbits in Dynamical Systems
    • Place of Presentation
      Erwin Schrodinger International Institute for Mathematical Physics (オーストリア・ウィーン)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] 離散回転の力学系

    • Author(s)
      Shigeki Akiyama
    • Organizer
      京都大学談話会
    • Place of Presentation
      京都大学理学部数学教室(京都)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Revisiting Ammann tiles

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Numeration and Substitution 2012
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] 離散回転の周期軌道の無限性

    • Author(s)
      Shigeki Akiyama
    • Organizer
      第7回日中数論セミナー準備会
    • Place of Presentation
      近畿大学(飯塚)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Beta expansion and algebraic coincidence

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Measurable and Topological Dynamical Systems
    • Place of Presentation
      慶応大学理工学部(東京)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Height reducing problem of algebraic numbers

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Diophatine Analysis and Related topics
    • Place of Presentation
      日本大学理工学部(東京都)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Periodic orbits of discretized rotations

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Advances on fractals and related topics
    • Place of Presentation
      香港中文大学(中国・香港)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] On the period of discretized rotations

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Ergodic Theory and Metric Number Theory
    • Place of Presentation
      日本女子大学(東京都)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] On the mean divisibility of multinomial sequences

    • Author(s)
      Shigeki Akiyama
    • Organizer
      第7回日中数論セミナー
    • Place of Presentation
      九州大学(福岡)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Strong coincidence and overlap coincidence

    • Author(s)
      Shigeki Akiyama
    • Organizer
      タイル張り力学系とその周辺
    • Place of Presentation
      京都大学数理解析研究所(京都)
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Strongly non-periodic hyperbolic tilings with only one vertex configuration

    • Author(s)
      Kazushi Ahara, Shigeki Akiyama, Hiroko Hayashi and Kazushi Komatsu
    • Organizer
      Topology of tiling spaces and related topics
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540141
  • [Presentation] Height Reducing Problem

    • Author(s)
      Shigeki Akiyama
    • Organizer
      2nd Pacific Rim Mathematical Association Congress
    • Place of Presentation
      Shanghai Jiao Tong University, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Periodic orbits of discretized rotation

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Workshop on Dynamical Systems, Automata and Algorithms
    • Place of Presentation
      Picardie Jules Vernes University, Amiens, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Algebraic coincidence for beta expansion and its dual tiling

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Sino-Japanese Workshop on Fractals and Dynamical Systems
    • Place of Presentation
      中国科学院(中国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540012
  • [Presentation] Recognizing the boundary of fractal tile

    • Author(s)
      Shigeki Akiyama
    • Organizer
      Topology of tiling spaces and related topics
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Data Source
      KAKENHI-PROJECT-24540012
  • 1.  YOSHIHARA Hisao (60114807)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  TANIGAWA Yoshio (50109261)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 3 results
  • 3.  MATSUMOTO Kohji (60192754)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  TAKEUCHI Teruo (10018848)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  ITO Shunji (30055321)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  KOMATSU Kazushi (00253336)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 2 results
  • 7.  KITAOKA Yoshiyuki (40022686)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  KIUCHI Isao (30271076)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  TAJIMA Shin-ichi (70155076)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  HIKAMI Kazuhiro (60262151)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  Kigami Jun (90202035)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  TOKUNAGA Hiro-o (30211395)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  KANEMITSU Shigeru (60117091)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  関川 浩永 (60018661)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  相川 弘明 (20137889)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  角 大輝 (40313324)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  宍倉 光広 (70192606)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  熊谷 隆 (90234509)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  梶野 直孝 (90700352)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  OGAWA Shigeyoshi (80101137)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  TAMURA Jun'ichi (90418905)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  TAKATA Toshie (40253398)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  GOTO Satoru (50253232)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  NOMAKUCHI Kentaro (60124806)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  NAKANO Fumihiko (10291246)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  KATSURADA Masanori (90224485)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  SUZUKI Hiroshi (70235993)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  AKASHI Shigeo (30202518)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  OHBUCHI Akira (10211111)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  印南 信宏 (20160145)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 31.  渡部 剛 (60018257)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 32.  桑田 和正 (30432032)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 33.  日野 正訓 (40303888)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 34.  白石 大典 (00647323)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 35.  FUJISAKI Hiroshi (80304757)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  YASUTOMI Shin'ichi (60230231)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  KATO Kazuhisa (20036578)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  KOMATSU Takao (70300556)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  MUNEMASA Akihiro (50219862)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  TANAKA Takaaki (60306850)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  EI Hiromi (60333051)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  KOTANI Motoko (50230024)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  KAMEYAMA Atsushi (00243189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  OHTA Shin-ichi (00372558)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  TAKAHASHI Satoshi (70226835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  ITO Hiroshi (30168372)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  KONNO Kazuhiro (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  HOMMA Masaaki (80145523)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  KOJIMA Hideo (90332824)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  TSUKADA Haruo (00257990)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  芹澤 久光 (00042771)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  渡辺 道昭 (90018573)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  田中 謙輔 (70018258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  斉藤 吉助 (30018949)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  羽鳥 理 (70156363)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 56.  赤井 純治 (30101059)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  松岡 篤 (00183947)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  土山 明 (90180017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  大藤 弘明 (80403864)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  金銅 誠之 (50186847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  湯浅 久利 (50363346)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 62.  金子 元
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 3 results
  • 63.  今井 勝喜
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 64.  鈴木 智成
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi