Nakada Hitoshi 仲田均

… Alternative Names

NAKADA Hitoshi 仲田均

仲田均

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Researcher Number	40118980
Other IDs
External Links
Affiliation (Current)	2025: 慶應義塾大学, 理工学部(矢上), 名誉教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 慶應義塾大学, 理工学部(矢上), 名誉教授 2016 – 2018: 慶應義塾大学, 理工学部(矢上), 名誉教授 1999 – 2015: 慶應義塾大学, 理工学部, 教授 2002: 慶応義塾大学, 理工学部, 教授 2000: 慶応義塾大学, 理工学部, 教授 … More 1999: 慶応義塾大学, 理工学部, 助教授 1992 – 1999: 慶應義塾大学, 理工学部, 助教授 1998: 慶応大, 理工学部, 助教授 1991: 慶應義塾大学, 理工学部・数理科学科, 助教授 1990: 慶應義塾大学, 理工学部, 助教授 1988 – 1989: 慶応義塾大学, 理工学部, 専任講師 1986: 慶応義塾大学, 理工学部, 專任講師 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related / Global analysis / Basic analysis / 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Global analysis / 解析学 … More / Geometry / Geometry / Algebra / 代数学・幾何学 Less
Keywords	Principal Investigator エルゴード理論 / 連分数 / ユークリッドアルゴリズム / 国際情報交換 / 国際研究者交流 / 連分数変換 / 不変測度 / 多重再帰性 / 虚2次体 / 虚二次体 … More / Farey グラフ / 数論 / 解析学 / 無限エルゴード理論 / エルデシ予想 / 等差数列 / 等差数列のエルデシ予想 / 無限大不変測度 / Invariant Measure / Ergodic Theory / FORMAL POWER SERIES / MULTIPLE RECURRENCE / MARKOV SHIFT / NONSINGULAR TRANSFORMATION / weakly mixing / Pascal-addic変換 / III_λ型変換 / II_∞型変換 / Rogers-Ramanujan連分数展開 / 2次元ランドム・ウォーク / Pascal-adic変換 / Zの直和分解 / weakly wandering sequence / upper Banach density / dissipative sequence / II_∞型エルゴード変換 / 形式的べき級数 / マルコフシフト / 非特異エルゴード変換 / CONTINUED FRACTIONS / NUMBER THEORETIC TRANSFORMATION / ERGODIC THEORY / 正規数 / 自然拡大 / 数論的変換 / イスラエル:フランス:オランダ:韓国:ポーランド / イタリア：イギリス / 多国籍 / イスラエル、フランス、韓国 / アルゴリズム / 一様分布論 / オランダ:フランス:韓国:イスラエル:イタリア / 非斉次ディオファンタス近似 / オランダ:フランス:韓国:イスラエル / Diophantus近似 / Rauzy induction / イタリア:フランス:オランダ / フランス:オランダ:イスラエル / 測度論敵数論 / 測度論的数論 / 非アルキメデス数体 … More Except Principal Investigator エルゴード理論 / 熱力学形式 / レヴィ過程 / 無限分解可能分布 / 測地流 / II_∞型エルゴード変換 / 非対称マルコフ過程 / ブラウン運動 / 自己相似過程 / Gerbe / PI-hierarchy / Bratteli diagram / thermodynamic formalism / ergodic theory / mapping class group / 写像類群 / 半自己分解可能分布 / 自然拡大 / 半レヴィ過程 / 生成作用素 / 力学系ゼータ関数 / タイヒミュラー空間 / 国際研究者交流 / α-自己分解可能分布 / オルンシュタイン・ウーレンベック過程 / 指数定理 / 変形量子化 / 多重再帰性 / Zの直和分解 / exhaustive weakly wandering seq. / 拡散過程 / 自己相似確率過程 / 正規数 / ラプラス近似 / 大偏差原理 / 安定過程 / 安定分布 / 確率論 / フラクタル / dynamical zeta function / Teichmuller space / additive parocess / semi-selfsimilar process / stochastic integral characterization / infinitely divisible distribution / semi-Levy process / Levy process / 半定常過程 / 確立積分表現 / 加法過程 / 半自己相似過程 / 確率積分表現 / Loop spaces / cyclic cohomology / quantization problems / Contact geometry / Symmplectic geometry / Noncommutative geometry / deformation quantization / Symplectic Geometry / 漸近解析 / Poisson groupoid / Nambu-Jacobi構造 / 超弦理論 / ポアソン構造 / 接触構造 / 変形量子化問題 / 積分可能系 / 幾何学的量子化 / 接触多様体 / シンプレクティック多様体 / ジャーブ / 非可換多様体 / ループ空間 / サイクリックコホモロジー / 量子化問題 / 接触幾何学 / シンプレクティック幾何学 / 非日間微分幾何学 / Garnie system / growth order / value distribution / Painleve equations / asymptotics / Painleve方程式 / PI-hierarcly / Garnier系 / 位数 / 値分布 / Pain leve方程式 / 漸近展開 / symbolic dynamics / type III-0 / von Neumann algebra / ergodic transformation / III型フォンノイマン環構造定理 / 弱混合性 / 軌道同値 / relation / Jones指数 / マルコフ測度 / エルゴート変換 / 記号力学系 / III_0型 / フォンノイマン環 / エルゴード変換 / geodesic flow / 閉測地線 / absolute continuity / levy processes / semi-selfsimilar stochastic processes / selfsimilar stochastic processes / type G distributions / semi-selfdecomposable distributions / selfdecomposable distributions / infinitely divisible distributions / 極限定理 / 半安定分布 / 過渡性 / 従属操作 / 絶対連続性 / 半自己相似確率過程 / タイプG分布 / 自己分解可能分布 / complexity of sequences / cutting and stacking method / Kakutani-Parry index / multiple recurrence / direct sum decompostion of 2 / exhaustive weakly wandering sequences / Radon-Nikodym cocycles / type II^* & III transformations / 局所誘導方程式 / ブラウン媒質内の拡散過程 / 量子的エルゴード性 / 3次元ビリヤードの符号列 / Gauss数体上の連分数近似 / 符号列のComplexity / cutting and stacking構成法 / ラドン・ニコディム・コサイクル / II_∞型及びIII型エルゴード変換 / 剛性定理 / 符号別のComplexity / cntting and stacking構成法 / 多重再帰定理 / exhanstive weably wandering seq / 整数集合Zの直和分解 / ラドン.ニコディム・コサイクル / II∞型及びIII型エルゴード的変換 / グラディエントの流れ / Yang-Mills汎関数 / domain of attraction / 自己相似安定過程 / Pitmanの定理 / ディオファントス近似 / 直和分解 / 有限型変換 / σー有限不変測度 / 複素連分数展開 / ディオファンタス近似 / 測地線流 / Brownian Sheet / Isingモデル / カオスの伝播 / スコロホード方程式 / 多粒子系モデル / 間隙列 / 一様分布論 / 間隙級数 / 経験分布過程 / lacunary sequence / discrepancy / uniform distribution / 重複対数の法則 / 等比数列 / 差異量 / 一様分布 / 力学ゼータ関数 / 確率解析 / 力学系 / タイヒミュラー空間論 / リトアニア:ドイツ:米国 / 確率積分写像の不動点 / スイス:チェコ:フランス:台湾 / 完全自己分解可能分布 / 米国、トルコ、ドイツ / ローゼンブラット過程 / ガンマ分布 / 2次元ガンマ分布 / 確率積分 / 正則1次微分 / 素数定理 / Rauzy induction / 連分数変換 / 区間入換え変換 / ディリクレ形式 / 中心極限定理 / 区間入れ換え変換 / メキシコ:台湾 / メキシコ、シンガポール / 自由確率論 / フラクショナルレヴィ過程 / スイス:メキシコ:フランス / レヴィ測度 / 無限分解可能過程 / 漸近展開理論 / 量子カオス / ランダム行列 / ローブレイン / Vershik変換 / Bratteli compactum / p進数体Z_pの直和分解 / III型エルゴード変換 / 強従属性 / 線形回帰数列 / 数論的量子カオス / complexity / 算術的整関数 / 代数的独立 / マーラーの方法 / 超越数 / 不確定性原理 / 同時測定論 / 粘性、圧縮流体 / 常微分方程式とWKB法 / 非線形放物型方程式 / 作用素の補間理論 / レビー過程 / ランダム媒質 / パンルヴェ方程式 / セルバ-グ.ゼ-タ / ラプラシアンの行列式 / 正規数の構成 / ビリヤ-ドに関するRauzy予想 / 数列のcomplexity / 超越数とMahlerの方法 / 代数的独立性 / 統計学 / S言語 / 数学モデル / デ-タ解析 / タイリング / 非弾性体衝突 / ランダム媒質中のランダム・ウォ-ク / フラクタル領域 / フラクタル次元 / フラクタル分布 Less

Ergodic theory of transformations arising from Euclidean algorithmPrincipal Investigator
- Principal Investigator
  
  仲田均
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Keio University
Ergodic theory of number theoretical transformations based on geometric analysis of structure of graphsPrincipal Investigator
- Principal Investigator
  
  Nakada Hitoshi
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Keio University
On the multiple recurrence of infinite measure preserving transformations and a conjecture by ErdosPrincipal Investigator
- Principal Investigator
  
  Nakada Hitoshi
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Randomness in number theory
- Principal Investigator
  
  Fukuyama Katusi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Recent progress in ergodic theory of number theoretic algorithmsPrincipal Investigator
- Principal Investigator
  
  Nakada Hitoshi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Studies on several problems on Levy processes and Infinitely divisible distributions
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Ergodic-theoretical study of dynamical systems and stochastic processes related to the theory of Teichmuller spaces
- Principal Investigator
  
  MORITA Takehiko
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
An ergodic study of algorithmsPrincipal Investigator
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Studies on several problems on infinitely divisible processes and infinitely divisible distributions
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Ergodic-theoretical study of dynamical systems and stochastic processes on moduli space of curves
- Principal Investigator
  
  MORITA Takehiko
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Hiroshima University
Ergodic theory and metric number theoryPrincipal Investigator
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Ergodic-theoretical study of the distribution of Teichmuller closed geodesics and the dynamical zeta functions
- Principal Investigator
  
  MORITA Takehiko
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Hiroshima University
Poisson Geometry, Contact Geometry and Quantization Problems
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  KEIO UNIVERSITY
Study on semi-Levy processes and semi-selfsimilar processes
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KEIO UNIVERSITY
非可換幾何学に関連した数理物理に関する日英共同プロジェクトの立案企画
- Principal Investigator
  
  前田吉昭
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
ON INFINITE MEASURE PRESERVING MEASURABLE DYNAMICAL SYSTEMSPrincipal Investigator
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
Global study on analytic solutions of functional equations
- Principal Investigator
  
  SHIMOMURA Shun
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
Study of approximately transitive transformations and its application to operator algebra
- Principal Investigator
  
  HAMACHI Toshihiro
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
A study on semi-selfdecomposable distributions and semi-selfsimilar stochastic processes
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
On a clacification problem of type II ∞ and type III ergodic transformations and its applicationPrincipal Investigator
- Principal Investigator
  
  NAKADA Hitoshi, 伊藤雄二
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  KEIO UNIVERSITY
Ergodic theoretical approach to classical dynamical systems appearing in probability theory and complex analysis
- Principal Investigator
  
  MORITA Takehiko
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
NATURAL EXTENSION METHOD FOR TEH ERGODIC THOERY OF NUMBER THEORETIC TRANSFORMATIONSPrincipal Investigator
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  KEIO UNIVERSITY
有限不変測度を持たないエルゴード変換の性質と関連する諸問題への応用の研究
- Principal Investigator
  
  伊藤雄二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
大偏差原理とその応用
- Principal Investigator
  
  田村要造
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
超越数論におけるマーラーの方法とその応用
- Principal Investigator
  
  塩川守賢
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Keio University
自己相似確率過程の研究
- Principal Investigator
  
  前島信
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
極限定理と大偏差原理に関する研究
- Principal Investigator
  
  田村要造
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Research on ergodic theory and its applications
- Principal Investigator
  
  ITO Yuji
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
調和解析および関連した諸問題の研究
- Principal Investigator
  
  小泉澄之
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
安定過程の研究
- Principal Investigator
  
  前島信
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Keio University
関数方程式と超越数論
- Principal Investigator
  
  塩川宇賢
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
デ-タ解析の数学モデルとその検証
- Principal Investigator
  
  柴田里程
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
フラクタルおよび関連する諸問題の研究
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
エルゴード変換の分類問題と関連する諸問題の研究
- Principal Investigator
  
  伊藤雄二
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
エルゴード変換の分類問題と関連する諸問題の研究
- Principal Investigator
  
  田中洋
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University

[Journal Article] ON THE ERGODIC THEORY OF MAPS ASSOCIATED WITH THE NEAREST INTEGER COMPLEX CONTINUED FRACTIONS OVER IMAGINARY QUADRATIC FIELDS2023
- Author(s)
  Hiromi Ei, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 43(11) Issue: 11 Pages: 3883-3924
- DOI
  10.3934/dcds.2023071
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03642, KAKENHI-PROJECT-22K03329, KAKENHI-PROJECT-20K03661
[Journal Article] On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields2022
- Author(s)
  Hiromi Ei, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Journal of Number Theory
  
  Volume: 238 Pages: 106-132
- DOI
  10.1016/j.jnt.2021.08.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03642, KAKENHI-PROJECT-20K03661
[Journal Article] On the ergodic theory of Tanaka--Ito type α-continued fractions2021
- Author(s)
  Hitoshi Nakada, Wolfgang Steiner
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 44-2 Issue: 2
- DOI
  10.3836/tjm/1502179343
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03661
[Journal Article] Analysis of generalized continued fraction algorithms over polynomials2021
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui, Brigitte Vallee
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 73 Pages: 101849-101849
- DOI
  10.1016/j.ffa.2021.101849
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03642, KAKENHI-PROJECT-20K03661
[Journal Article] On the construction of the natural extension of the Hurwitz complex continued fraction map.2019
- Author(s)
  Hiromi Ei, Shunji Ito, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 188 Issue: 1 Pages: 37-86
- DOI
  10.1007/s00605-018-1229-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K13766, KAKENHI-PROJECT-15K17559
[Journal Article] A Piecewise Rotation of the Circle, IPR Maps and Their Connection withTranslation Surfaces2018
- Author(s)
  Kae Inoue、Hitoshi Nakada
- Journal Title
  
  Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, Lecure Note in Mathematics
  
  Volume: 2213 Pages: 393-431
- DOI
  10.1007/978-3-319-74908-2_19
- ISBN
  9783319749075, 9783319749082
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K13766
[Journal Article] Discrepancy Skew Products and Affine Random Walks2017
- Author(s)
  Jon Aaronson, Michael Bromberg, Hitoshi Nakada
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Journal Article] On the construction of continued fraction normal series in positive characteristic2016
- Author(s)
  D.H. Kim, H. Nakada, R. Natsui
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] On multiple recurrence and other properties of “nice” infinite measure preserving transformations2016
- Author(s)
  J. Aaronson, H. Nakada
- Journal Title
  
  Ergodic theory and dynamical systems
  
  Volume: 未定 Issue: 5 Pages: 1492-1536
- DOI
  10.1017/etds.2015.89
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] Fine costs for Euclid’s algorithm on polynomials and Farey maps2014
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui, Brigitte Vallee
- Journal Title
  
  Advances in Applied Mathematics
  
  Volume: 54 Pages: 27-65
- DOI
  10.1016/j.aam.2013.11.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] On the equivalence relations of α-continued fractions2014
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 25 Issue: 4 Pages: 800-815
- DOI
  10.1016/j.indag.2014.02.006
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] Farey Maps, Diophantine Approximation and Bruhat-Tits tree2014
- Author(s)
  Dong Han Kim, Seonhee Lim, Hitoshi Nakada, and Rie Natsui
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 30 Pages: 14-32
- DOI
  10.1016/j.ffa.2014.05.007
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] refined Kurzweil type theorem in positive characteristic2013
- Author(s)
  D.-H.-Kim, H. Nakada, R. Natsui, A
- Journal Title
  
  Finite Fields Appl
  
  Volume: Vol. 20 Pages: 64-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340021
[Journal Article] On the existence of a Darling-Kac set for the renormalized Rauzy map2011
- Author(s)
  K. Inoue, H. Nakada
- Journal Title
  
  Tokyo J. Math
  
  Volume: Vol.34 Pages: 289-302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340021
[Journal Article] Metric inhomogeneous Diophantine approximation on the filed of formal Laurent series2011
- Author(s)
  D.-H. Kim, H. Nakada
- Journal Title
  
  Acta. Arith
  
  Volume: Vol. 150 Pages: 129-142
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340021
[Journal Article] On the Existence of a Darling-Kac Set for the Renormalized Rauzy map2011
- Author(s)
  Kae Inoue, Hitoshi Nakada
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: vol. 34 Issue: 2 Pages: 289-302
- DOI
  10.3836/tjm/1327931385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Metric inhomogeneous Diophantine approximations on the field of formal Laurent series2011
- Author(s)
  Dong Han Kim, Hitoshi Nakada
- Journal Title
  
  Acta Arithmetica
  
  Volume: vol. 150 Issue: 2 Pages: 129-142
- DOI
  10.4064/aa150-2-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] On Schweiger's problems on fully subtractive algorithms2011
- Author(s)
  Robbert Fokkink, Cor Kraaikamp, Hitoshi Nakada
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: vol. 186 Issue: 1 Pages: 285-302
- DOI
  10.1007/s11856-011-0140-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] On Schweiger's problems on fully subtractive algorithms2011
- Author(s)
  R. Fokkik, C. Kraaikamp, H. Nakada
- Journal Title
  
  Israel J. Math.
  
  Volume: Vol. 186 Pages: 285-296
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340021
[Journal Article] On the Lenstra constant associated to the Rosen continued fractions2010
- Author(s)
  Hitoshi Nakada
- Journal Title
  
  J.Eur.Math.Soc. 12
  
  Pages: 55-70
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Generalized Brjuno functions associated to α-continued fractions2010
- Author(s)
  Laura Luzzi, Stefano Marmi, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Journal of Approximation Theory
  
  Volume: vol. 162 Issue: 1 Pages: 24-41
- DOI
  10.1016/j.jat.2009.02.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Metric and arithmetic proper ties of mediant-Rosen maps.2009
- Author(s)
  Kraaikamp, C; Nakada, H; Schmidt, T.A.
- Journal Title
  
  Acta Arith 137,no.4
  
  Pages: 295-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340038
[Journal Article] Metric and arithmetic properties of mediant-Rosen maps.2009
- Author(s)
  C. Kraaikamp, H. Nakada, T. Schmidt
- Journal Title
  
  Acta Arith 137
  
  Pages: 295-324
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Dio phantine approximations with restric ted denominators.2008
- Author(s)
  Berthe, V., Nakada, H., Natsui, R
- Journal Title
  
  Finite Fields Appl. 14,no.4
  
  Pages: 849-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340038
[Journal Article] Natsui, Asymptotic behavior of the number of solutions for non-archimedean diophantine approximations with restricted denominators2008
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Finite Fields Appl.14 no.4
  
  Pages: 849-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] The non-monotonicity of the entropy of α-continued fraction transformations2008
- Author(s)
  Hitoshi Nakada
- Journal Title
  
  Nonlinearity 21
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Non-monotonicity of the entropy of a-continued fract ion transformations2008
- Author(s)
  Hitoshi Nakada
- Journal Title
  
  Nonlinearity 21
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340038
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators2008
- Author(s)
  V. Berthe, H. Nakada
- Journal Title
  
  Finite Fields Appl 14
  
  Pages: 849-866
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] The non-monot onicity of the entropy of a-continu ed fraction transformations.2008
- Author(s)
  Nakada, H, Natsui, R
- Journal Title
  
  Nonlin earity 21,no.6
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340038
[Journal Article] The non-monotonicity of the entropy ofα-continued fraction transformations2008
- Author(s)
  H. Nakada
- Journal Title
  
  Nonlinearity 21
  
  Pages: 1207-1225
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] The non-monotonicity of the entropy of α -continued fraction transformations2008
- Author(s)
  Hitoshi Nakada
- Journal Title
  
  Nonlinearity 21
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] The non-monotonicity of the entropy of a-continued fraction transformations2008
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Nonlinearity 21 no.6
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Exchangeable, Gibbs and equilibrium measures for Markov subshifts2007
- Author(s)
  J. Aaronson and H. Nakada
- Journal Title
  
  Ergodic Theory and Dynamical Systems 27
  
  Pages: 321-339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Exchangeable Gibbs and equilibrium measures for Markov subshifts.2007
- Author(s)
  Aaronson, J., Nakada, H.
- Journal Title
  
  Ergodic Theory Dyn am. Systems 27,no.2
  
  Pages: 321-339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340038
[Journal Article] Exchangeable, Gibbs and equilibrium measures for Markov subshifts2007
- Author(s)
  J. Aaronson and H. Nakada
- Journal Title
  
  Ergodic Theory and Dynamical Systems 27
  
  Pages: 535-545
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Invariance principles for Diophantine approximation of formal Laurent series over a finite base field2007
- Author(s)
  E. Deligero, M. Fuchs and H. Nakada
- Journal Title
  
  Finite Fields and Their Applications 13
  
  Pages: 535-545
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Invariance principles for Diophantine approximation of formal Laurent series over a finite base field2007
- Author(s)
  Eveyth Deligero, Michael Fuchs, Hitoshi Nakada
- Journal Title
  
  Finite Fields Appl. 13 no.3
  
  Pages: 535-545
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Some ergodic properties of the negative slope algorithm2007
- Author(s)
  K. Ishimura and H. Nakada
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 667-683
- NAID
  120005986765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Invariance principles for Diophantine approximation of formal Laurent series over a finite base field2007
- Author(s)
  E. Deligero, M. Fuchs, and H. Nakada
- Journal Title
  
  Finite Fields and Their Applications 13
  
  Pages: 535-545
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Invariance principles for Diophantine approximation of formal Laurent series over a finite base field2007
- Author(s)
  E. Deligero, M. Fuchs, H. Nakada
- Journal Title
  
  Finite Fields Appl 13
  
  Pages: 535-545
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Some ergodic properties of the negative slope algorithm2007
- Author(s)
  Koshiro Ishimura, Hitoshi Nakada
- Journal Title
  
  Osaka J. Math. 44 no.3
  
  Pages: 667-683
- NAID
  120005986765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Exchangeable, Gibbs and equilibrium measures for Markov subshifts2007
- Author(s)
  J. Aaronson, H. Nakada
- Journal Title
  
  Ergodic Th. Dynamical Systems 27
  
  Pages: 535-545
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Some ergodic properties of the negative slope algorithm2007
- Author(s)
  K. Ishimura and H. Nakada
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 667-683
- NAID
  120005986765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340025
[Journal Article] Exchangeable, Gibbs and equilibrium measures for Markov subshifts2007
- Author(s)
  Jon Aaronson, Hitoshi Nakada
- Journal Title
  
  Ergodic Theory Dynam. Systems 27 no.2
  
  Pages: 321-339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations2006
- Author(s)
  H.Nakada
- Journal Title
  
  Acta Arith. 125-3
  
  Pages: 203-214
- Data Source
  KAKENHI-PROJECT-16340048
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations2006
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Acta Arith. 125 no.3
  
  Pages: 203-214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations2006
- Author(s)
  H.Nakada, R.Natsui
- Journal Title
  
  Acta Arithmetica 125-3
  
  Pages: 727-751
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Arithmetic distributions of convergents arishing from Jacobi-Perron algorithm2006
- Author(s)
  V.Berthe, H.Nakada, R.Natsui
- Journal Title
  
  Indagationes Mathematicae 17-2
  
  Pages: 169-185
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Exchangeable measures for subshifts2006
- Author(s)
  Jon Aaronson, Hitoshi Nakada, Omri Sarig
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist. 42 no.6
  
  Pages: 727-751
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Arithmetic distributions of convergents arising from Jacobi-Perron algorithm2006
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Indag. Math. (N.S.) 17 no.2
  
  Pages: 169-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximation2006
- Author(s)
  H.Nakada
- Journal Title
  
  Acta Arith. 125-3
  
  Pages: 203-214
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340048
[Journal Article] Exchangeable measures for subshifts2006
- Author(s)
  J.Aaronson, II.Nakada, O.Sarig
- Journal Title
  
  Annales de 1'Institut Henri Poincare (B) Probability and Statistics 42-6
  
  Pages: 727-751
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximation2006
- Author(s)
  H.Nakada
- Journal Title
  
  Acta Arith. 125・3
  
  Pages: 203-214
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340048
[Journal Article] On the mixing coefficients of piecewise monotonic maps2005
- Author(s)
  J.Aaronson, H, Nakada
- Journal Title
  
  Israel J. Math 148
  
  Pages: 1-10
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15204005
[Journal Article] On the mixing coefficients of piecewise monotonic maps2005
- Author(s)
  J.Aaronson, H.Nakada
- Journal Title
  
  Israel J. Math. 148
  
  Pages: 1-10
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15204005
[Journal Article] On the mixing coefficients of piecewise monotonic maps
- Author(s)
  J.Aaronson, H.Nakada
- Journal Title
  
  Israel J.Math. (発表予定)
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] On the Lenstra constant associated to the Rosen continued fractions
- Author(s)
  Hitoshi Nakada
- Journal Title
  
  to appear in J. Eur. Math. Soc.
- URL
  http://front.math.ucdavis.edu/0705.3756
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] On the central limit theorem for non-archimedean Diophantine approximations
- Author(s)
  E.Deligero, H.Nakada
- Journal Title
  
  Manuscripta Math. (発表予定)
- Data Source
  KAKENHI-PROJECT-15340036
[Presentation] On continued fraction maps acting on the Farey graph2022
- Author(s)
  Nakada Hitoshi
- Organizer
  Recent Progress in Ergodic Theory
- Invited
- Data Source
  KAKENHI-PROJECT-20K03661
[Presentation] On the notions of suborbital graph and geodesic continued fractions for an imaginary quadratic field2019
- Author(s)
  Hitoshi Nakada
- Organizer
  FWF/JSPS Meeting at St. Virgil
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] The visits to zero of a cylinder flow2018
- Author(s)
  Hitoshi Nakada
- Organizer
  St Virgil FWF/JSPS Meeting　Salzburg
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] Ergodic theory of complex continued fraction maps2018
- Author(s)
  Hitoshi Nakada
- Organizer
  Workshop「60 years of dynamics and number expansions」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] On the Construction of Translation Surfaces from Piecewise Rotation Maps of the Circle2018
- Author(s)
  Hitoshi Nakada
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] On Cruz and da Rocha's idea for a piecewise rotation map of the circle and its application2017
- Author(s)
  Hitoshi Nakada
- Organizer
  Zero Entropy System
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] On Cruz and da Rocha's induction for piecewise rotation maps of the circle as the dual of Rauzy induction2017
- Author(s)
  Hitoshi Nakada
- Organizer
  Modern Problems of Dynamical Systems and Their Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] Extended Rauzy induction の引き起こすRauzy classes 間のtransition について2017
- Author(s)
  仲田　均
- 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）
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] A construction of translation surfaces based on Cruz and da Rocha's idea2017
- Author(s)
  Hitoshi Nakada
- Organizer
  Aperiodic patterns in Crystals, Numbers and Symbols
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] On the natural extensions of some complex continued fraction transformations2016
- Author(s)
  仲田　均
- Organizer
  Ergodic Theory and its Connections with Arithmetic and Combinatorics
- Place of Presentation
  Marseille(France)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] On a construction of normal series with respect to Artin continued fractions2016
- Author(s)
  Hitoshi Nakada
- Organizer
  Substitutions and continued fractions
- Place of Presentation
  LIAFA, University of Paris 7, Paris (France)
- Year and Date
  2016-03-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On normal series associated to Artin continued fractions2016
- Author(s)
  Hitoshi Nakada
- 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
  2016-02-06
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] K-automorphism, revisited2016
- Author(s)
  Hitoshi Nakada
- 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
  2016-02-06
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On aequivalence relations of continued fractions2016
- Author(s)
  Hitoshi Nakada
- Organizer
  Combinatoire et Theorie des Nombres
- Place of Presentation
  Institute of Camille Jordan, Univerity of Lyon 1, Lyon (France)
- Year and Date
  2016-03-15
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Szemerédiの定理と展望１、２2016
- Author(s)
  仲田　均
- Organizer
  2016年度八王子数論セミナー
- Place of Presentation
  八王子セミナーハウス（東京都八王子市）
- Year and Date
  2016-08-27
- Invited
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] On multiple recurrence2016
- Author(s)
  Hitoshi Nakada
- Organizer
  Seminar in Ergodic Theory - Keio 2016
- Place of Presentation
  慶應義塾大学日吉キャンパス (神奈川県・横浜市)
- Year and Date
  2016-01-23
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Basic ideas in innite ergodic theory(I), （II), (III)2016
- Author(s)
  仲田　均
- Organizer
  エルゴード理論の最近の発展
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2016-10-19
- Invited
- Data Source
  KAKENHI-PROJECT-16K13766
[Presentation] Some problems in Ergodic Theory (1), (2), (3)2016
- Author(s)
  Hitoshi Nakada
- Organizer
  エルゴード理論と群論に関連した作用素環論における諸問題の研究
- Place of Presentation
  京都大学数理解析研究所　（京都府・京都市)
- Year and Date
  2016-01-25
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the dual map of the Rauzy induction2015
- Author(s)
  Hitoshi Nakada
- Organizer
  Workshop on Measurable and Topological Dynamical Systems
- Place of Presentation
  National Institute for Mathemtical Sciences, Daejon (Korea)
- Year and Date
  2015-07-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] How to find the absolutely continuous invariant measure for continued fraction maps2015
- Author(s)
  Hitoshi Nakada
- Organizer
  Ergodic Theory and Combinatrics Conference
- Place of Presentation
  University of Agder, Kristiansand (Norway)
- Year and Date
  2015-06-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] エルゴード理論の同型問題とその不変量としてのエントロピー2015
- Author(s)
  Hitoshi Nakada
- Organizer
  電子回路設計と力学系
- Place of Presentation
  京都大学数理解析研究所 (京都府・京都市)
- Year and Date
  2015-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the notion of normal numbers for alpha continued fractions2014
- Author(s)
  Hitoshi Nakada
- Organizer
  Probability, Ergodic Theory, Dynamical Systems
- Place of Presentation
  Tel Aviv University, Tel Aviv, Israel
- Year and Date
  2014-04-10
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the natural extension of the Rauzy-Veech induction map2014
- Author(s)
  Hitoshi Nakada
- Organizer
  Ergodic Theory and Dynamical Systems
- Place of Presentation
  Nicolaus Copernicus University, Torun, Poland
- Year and Date
  2014-05-12
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On costs of some Euclidean type algorithms over F_q[X]^32012
- Author(s)
  仲田均
- Organizer
  Dynamics of complex systems 2012
- Place of Presentation
  北海道大学(招待講演)
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On costs of some Euclidean type algorithms ove F_q[X]^32012
- Author(s)
  H. Nakada
- Organizer
  Dynamics of Complex Systems 2012
- Place of Presentation
  Sapporo, Japan
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On hurwitz continued fractions and an idea by Ford2012
- Author(s)
  Hitoshi Nakada
- Organizer
  Ergodic Theory and Metric Theory
- Place of Presentation
  Tokyo, Japan
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On the dual algorithm of Rauzy induction1, 2, 32012
- Author(s)
  Hitoshi Nakada
- 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
- Year and Date
  2012-02-18
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the dual algorithm of Rauzy induction 1, 2, 32012
- Author(s)
  仲田均
- Organizer
  数論とエルゴード理論
- Place of Presentation
  金沢大学
- Year and Date
  2012-02-18
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On the dual algorithm of Rauzy induction 1, 2, 32012
- Author(s)
  仲田均
- Organizer
  数論とエルゴード理論
- Place of Presentation
  金沢大学(招待講演)
- Year and Date
  2012-02-18
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the dual of Rauzy induction2012
- Author(s)
  H. Nakada
- Organizer
  Workshop on Infinite Ergodic Theory
- Place of Presentation
  Guildford, UK
- Year and Date
  2012-07-30
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On the dual of Rauzy induction2012
- Author(s)
  仲田均
- Organizer
  Workshop on Infinite Ergodic Theory
- Place of Presentation
  英国 University of Surrey(招待講演)
- Year and Date
  2012-06-30
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the dual of Rauzy induction2012
- Author(s)
  Hitoshi Nakada
- Organizer
  Workshop on Infinite Ergodic Theory
- Place of Presentation
  University of Surrey 英国
- Year and Date
  2012-05-30
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On Hurwitz continued fractions and an aidea by Ford2012
- Author(s)
  H. Nakada
- Organizer
  Ergodic Theory and Metric Theory
- Place of Presentation
  Tokyo, Japan.
- Year and Date
  2012-12-05
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On costs of some Euclidean type algorithms over F_q[X]^32012
- Author(s)
  仲田均
- Organizer
  Dynamics of Complex Systems 2012
- Place of Presentation
  北海道大学
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On costs of some Euclidean type algorithms over F_q[X]^32012
- Author(s)
  Hitoshi Nakada
- Organizer
  Dynamics of complex systems 2012
- Place of Presentation
  北海道大学理学部
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the dual of Rauzy induction2012
- Author(s)
  仲田均
- Organizer
  Ergodic Theory and Metric Number Theory
- Place of Presentation
  日本女子大学新泉山会館(招待講演)
- Year and Date
  2012-12-06
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the dual algorithm of Rauzy induction2011
- Author(s)
  Hitoshi Nakada
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  大阪大学理学部
- Year and Date
  2011-12-08
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the dual algorithm of Rauzy induction2011
- Author(s)
  仲田均
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  大阪大学
- Year and Date
  2011-12-08
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On the dual algorithm of Rauzy induction2011
- Author(s)
  仲田均
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  大阪大学
- Year and Date
  2011-12-08
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On continued fraction mixing2010
- Author(s)
  H.Nakada
- Organizer
  Workshop on Infinite Ergodic Theory and Related Fields
- Place of Presentation
  Weizmann Institute of Science, Israel(招待講演)
- Year and Date
  2010-06-28
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On the dynamics of fully subtractive algorithm2010
- Author(s)
  仲田均
- Organizer
  Japan-Korea Workshop on Number Theory and Ergodic Theory
- Place of Presentation
  京都大学数理解析研究所(京都)(招待講演)
- Year and Date
  2010-07-28
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On continued fraction mixing2010
- Author(s)
  H. Nakada
- Organizer
  Workshop on Infinite Ergodic Theory and Related Fields
- Place of Presentation
  Weizmann Institute of Science, Israel.
- Year and Date
  2010-06-28
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On continued fraction mixing2010
- Author(s)
  Hitoshi Nakada
- Organizer
  Workshop on Infinite Ergodic Theory and Related Fields
- Place of Presentation
  Weizmann Institute of Science イスラエル
- Year and Date
  2010-06-28
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the dynamics of fully subatractive algorithm2010
- Author(s)
  H. Nakada
- Organizer
  Japan-Korea Workshop on Number Theory and Ergodic Theory
- Place of Presentation
  Kyoto, Japan.
- Year and Date
  2010-07-28
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On the dynamics of filly subatractive algorithm2010
- Author(s)
  H.Nakada
- Organizer
  Japan-Korea Workshop on Number Theory and Ergodic Theory
- Place of Presentation
  Kyoto, Japan
- Year and Date
  2010-07-28
- Data Source
  KAKENHI-PROJECT-22340021
[Presentation] On continued fraction mixing2010
- Author(s)
  仲田均
- Organizer
  Workshop on Infinite Ergodic Theory and Related Fields
- Place of Presentation
  Weizmann研究所(Israel)(招待講演)
- Year and Date
  2010-06-28
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Ergodicity of a group extension of Jacobi-Perron algorithm2009
- Author(s)
  Hitoshi Nakada
- Organizer
  Workshop on Measurable and Topological Dynamical Systems in Asia
- Place of Presentation
  Ajou University 韓国
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Entropy of a class of continued fraction maps2009
- Author(s)
  H. Nakada
- Organizer
  UK-Japan Winter School
- Place of Presentation
  英国バース大学
- Year and Date
  2009-01-10
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] Entropy of a class of continued fraction maps2009
- Author(s)
  仲田均
- Organizer
  UK-Japan Winter School
- Place of Presentation
  The university of Bath 大学(UK)
- Year and Date
  2009-01-10
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] Entropy of a class of continued fraction maps2009
- Author(s)
  Hitoshi Nakada
- Organizer
  UK-Japan Winter School
- Place of Presentation
  英国バース大学
- Year and Date
  2009-01-10
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] Renormalized Rauzy map に対するDarling-Kac set の存在について2009
- Author(s)
  Hitoshi Nakada
- Organizer
  Dynamics of complex systems 2009
- Place of Presentation
  北海道大学理学部
- Year and Date
  2009-08-31
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Renormalized Rauzy map に対する Darling-Kac set の存在について2009
- Author(s)
  仲田均
- Organizer
  研究集会「Dynamics of complex systems 2009」
- Place of Presentation
  北海道大学理学部(札幌市)
- Year and Date
  2009-08-31
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Ergodicity of a group extension of Jacobi-Perron algorithm2009
- Author(s)
  仲田均
- Organizer
  Workshop on Measurable and Topological Dynamical Systems in Asia
- Place of Presentation
  Ajou University(水原、韓国)
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Fully subtractive algorithm のdynamicsについて2008
- Author(s)
  仲田均
- Organizer
  Dynamics of complex systems 2008 --数学的予測方式の可能性と諸分野からのニーズ--
- Place of Presentation
  北海道大学
- Year and Date
  2008-09-03
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] Fully subtractive algorithmのdynamicsについて2008
- Author(s)
  仲田均
- Organizer
  Dynamics of complex systems 2008-数学的予測方式の可能性と諸分野からのニーズ-
- Place of Presentation
  北海道大学
- Year and Date
  2008-09-03
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] Fully subtractive algorithm の dynamicsについて2008
- Author(s)
  仲田均
- Organizer
  Dynamics of complex systems 2008
- Place of Presentation
  北海道大学
- Year and Date
  2008-09-03
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] Fully subtractive algorithmのdynamicsについて2008
- Author(s)
  Hitoshi Nakada
- Organizer
  Dynamics of complex systems 2008
- Place of Presentation
  札幌北海道大学
- Year and Date
  2008-09-03
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] On the metric Diophantine approximations in positive characteristic2007
- Author(s)
  H.Nakada
- Organizer
  Journee corps finis at LIEMM
- Place of Presentation
  Montpellier,France
- Year and Date
  2007-11-28
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] On the Lenstra constant associated to continued fractions2007
- Author(s)
  仲田均
- Organizer
  Renormalization small divisors continued fractions and geodesic flows
- Place of Presentation
  SNS at Pisa (Italy)
- Year and Date
  2007-04-26
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] On the Lenstra constant associated to continued fractions2007
- Author(s)
  H. Nakada
- Organizer
  Workshop at Special Trimester on Dynamical Systems and Number Theory
- Place of Presentation
  Scuola Normale Superiore at Pisa,Italy
- Year and Date
  2007-04-26
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] α-連分数変換から作られる確率過程の1-parameter familyのentropyの変化について2007
- Author(s)
  仲田均, 夏井理恵
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] α-連分数変換から作られる確率過程の1-parameter family のentropyの変化について2007
- Author(s)
  H. Nakada(with Rie Natsui)
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] On the metric Diophantine approximations in positive characteristic2007
- Author(s)
  H. Nakada
- Organizer
  Journee corps finis at LIRMM
- Place of Presentation
  Montpellier,France
- Year and Date
  2007-11-28
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] On the non-monotonicityof the entropy of alpha-continued fraction transformations2007
- Author(s)
  H. Nakada
- Organizer
  Workshop on Dynamical systems and Number Theory 2007
- Place of Presentation
  Strobl, Austria
- Year and Date
  2007-07-02
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] On the metric Diophantine approximations in positive characteristic2007
- Author(s)
  H. Nakada
- Organizer
  Journee corps finis at LIRMM
- Place of Presentation
  Montpellier, France
- Year and Date
  2007-11-28
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] On the non-monotonicity of the entropy of α-continued fraction transformations2007
- Author(s)
  仲田均
- Organizer
  Workshop on Dynamical systems and Number Theory 2007
- Place of Presentation
  Storbl(Austria)
- Year and Date
  2007-07-02
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] α-連分数変換から作られる確率過程の1-parameter familyのentropyの変化について2007
- Author(s)
  H. Nakada(with Rie Natsui)
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] On the non-monotonicity of the entropy of alpha-continued fraction transformations2007
- Author(s)
  H. Nakada
- Organizer
  Workshop on Dynamical Systems and NumberTheory 2007
- Place of Presentation
  Strobl,Austria
- Year and Date
  2007-07-02
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] On the Lenstra constant associated to continued fractions2007
- Author(s)
  H. Nakada
- Organizer
  Workshop at Special Trimester on Dynamical Systems and Number Theory
- Place of Presentation
  Scuola Normale Superioreat Pisa,Italy
- Year and Date
  2007-04-26
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] On the Lenstra constantassociated to continued fractions2007
- Author(s)
  H. Nakada
- Organizer
  Workshop at Special Trimester on Dynamical Systems and Number Theory
- Place of Presentation
  Scuola Normale Superiore at Pisa, Italy.
- Year and Date
  2007-04-26
- Data Source
  KAKENHI-PROJECT-19340025
[Presentation] On the non-monotonicity of the entropy of alpha-continued fraction Transformations2007
- Author(s)
  H. Nakada
- Organizer
  Workshop on Dynamical systems and Number Theory 2007
- Place of Presentation
  Strobl,Austria
- Year and Date
  2007-07-02
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] Z^d 上の位相的マルコフシフトの位置交換可能測度と平衡状態について2006
- Author(s)
  仲田均
- Organizer
  エルゴード理論の展望
- Place of Presentation
  三重大学
- Year and Date
  2006-12-07
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] On the theory of α-continued fractions -- the early history, then
- Author(s)
  Hitoshi Nakada
- 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
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the equivalence relations of alpha-continued fractions
- Author(s)
  Hitoshi Nakada
- Organizer
  Continued fractions, Interval Exchanges and Applications to Geometry
- Place of Presentation
  Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On realizations of the natural extension of the continued fraction transformations
- Author(s)
  Hitoshi Nakada
- Organizer
  Probability and Numbers
- Place of Presentation
  TU Delft, the Netherlands
- Invited
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the duality between piecewise rotations of the circle and interval exchange maps
- Author(s)
  Hitoshi Nakada
- Organizer
  Warwick-Keio Seminar in Ergodic Theory
- Place of Presentation
  Mathematics Institute, University of Warwick, UK
- Data Source
  KAKENHI-PROJECT-24340020

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Nakada Hitoshi 仲田 均

NAKADA Hitoshi 仲田 均

仲田 均

Research Projects

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Co-Researchers

Ergodic theory of transformations arising from Euclidean algorithmPrincipal Investigator

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Ergodic theory of number theoretical transformations based on geometric analysis of structure of graphsPrincipal Investigator

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On the multiple recurrence of infinite measure preserving transformations and a conjecture by ErdosPrincipal Investigator

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Recent progress in ergodic theory of number theoretic algorithmsPrincipal Investigator

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An ergodic study of algorithmsPrincipal Investigator

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Ergodic theory and metric number theoryPrincipal Investigator

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Nakada Hitoshi 仲田均

NAKADA Hitoshi 仲田均

仲田均