Tamura Jun-ichi 田村純一

… Alternative Names

田村純一タムラジュンイチ

TAMURA Jun'ichi 田村純一

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Researcher Number	90418905
Affiliation (Current)	2025: 津田塾大学, 数学・計算機科学研究所, 研究員
Affiliation (based on the past Project Information) *help	2022 – 2023: 津田塾大学, 数学・計算機科学研究所, 研究員 2018: 津田塾大学, 数学・計算機科学研究所, 研究員 2017: 津田塾大学, 付置研究所, 研究員 2015 – 2016: 津田塾大学, 数学・計算機科学研究所, 研究員 2009 – 2013: 津田塾大学, 付置研究所, 研究員 2006 – 2007: 津田塾大学, 付置研究所, 研究員
Review Section/Research Field	Except Principal Investigator Basic Section 61040:Soft computing-related / Soft computing / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Except Principal Investigator p進数 / 擬似乱数 / カオス / 真軌道計算 / 連分数 / ニュートン法 / 超一様分布列 / 乱数検定 / Lagrangeの定理 / 代数的数 … More / 非線形現象 / 同時近似問題 / Farey分割 / 高次元連分数アルゴリズム / 基本単数 / 高次元連分数展開 / タイリング / stepped surface / substitution / 高次元連分数 / 単数 / low discrepancy / 自己相似集合 / 非Pisot数 / サブスティテユーション / non-Pisot 数 / 準結晶 / Pisot数 / マルコフ分割 / Diophantine近似 / フラクタル / サブスティテューション / non-Pisot数 / Pisot / 準周期タイリング Less

数論と力学系との融合による擬似乱数および準乱数生成アルゴリズムの構築とその応用
- Principal Investigator
  
  斉藤朝輝
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 61040:Soft computing-related
- Research Institution
  Future University-Hakodate
Development of true orbit computation: analysis of nonlinear phenomena and application to pseudorandom number generation
- Principal Investigator
  
  Saito Asaki
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Soft computing
- Research Institution
  Future University-Hakodate
Multidimensional continued fraction algorithm
- Principal Investigator
  
  YASUTOMI Shin-ichi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Toho University
  Suzuka National College of Technology
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

All 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 Other

All Journal Article Presentation

[Journal Article] Continued fraction algorithms and Lagrange's theorem in Q_p2019
- Author(s)
  Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] Multidimensional p-adic continued fraction algorithms2019
- Author(s)
  Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
- Journal Title
  
  Mathematics of Computation
  
  Volume: 印刷中 Issue: 321 Pages: 351-372
- DOI
  10.1090/mcom/3458
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] Multidimensional p-adic continued fraction algorithms2018
- Author(s)
  安冨真一, 斉藤朝輝, 田村純一
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 掲載予定
- Open Access
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] p進数体上の連分数アルゴリズムとその周期性2018
- Author(s)
  斉藤朝輝, 田村純一, 安冨真一
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 掲載予定
- Open Access
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] Substitutions over C-powered symbols, and Rauzy fractals for imaginary directions2016
- Author(s)
  Jun-ichi Tamura and Shin-ichi Yasutomi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B58 Pages: 191-229
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] Dual substitutions over R > 0-powered symbols2016
- Author(s)
  Jun-ichi Tamura and Shin-ichi Yasutomi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B58 Pages: 231-242
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] True orbit simulation of piecewise linear and linear fractional maps of arbitrary dimension using algebraic numbers2015
- Author(s)
  Asaki Saito, Shin-ichi Yasutomi, Jun-ichi Tamura and Shunji Ito
- Journal Title
  
  Chaos
  
  Volume: 25 Issue: 6 Pages: 063103-063103
- DOI
  10.1063/1.4921938
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K00342
[Journal Article] A p-adic phenomenon related to certain integer matrices, and p-adic values of a multidimensional continued fraction2012
- Author(s)
  Jun-ichi Tamura
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 29 Pages: 1-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540037
[Journal Article] Some aspects of multidimensional continued fraction algorithms2012
- Author(s)
  Jun-ichi Tamura, Shin-ichi Yasutomi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 34 Pages: 463-475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540037
[Journal Article] A NEW ALGORITHM OF CONTINUED FRACTIONS RELATED TO REAL ALGEBRAIC NUMBER FIELDS OF DEGREE≦52011
- Author(s)
  Jun-ichi Tamura, Shin-ichi Yasutomi
- Journal Title
  
  INTEGERS
  
  Volume: 11B Pages: 1-21
- URL
  http://www.integers-ejcnt.org/vol11b.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540037
[Journal Article] A NEW ALGORITHM OF CONTINUED FRACTIONS RELATED TO REAL ALGEBRAIC NUMBER FIELDS OF DEGREE ≦52011
- Author(s)
  Jun-ichi Tamura, Shin-ichi Yasutomi
- Journal Title
  
  INTEGERS
  
  Volume: 11B Pages: 1-21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540037
[Journal Article] Algebraic Jacobi-Perron algorithm, for biquadratic numbers2010
- Author(s)
  Jun-ichi Tamura, Shin-ichi Yasutomi
- Journal Title
  
  AIP Conf. Proc., Amer. Inst. Phys
  
  Volume: 1264 Pages: 139-149
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540037
[Journal Article] Algebraic Jacobi-Perron algorithm, for biquadratic numbers2010
- Author(s)
  Tamura, Jun-ichi ; Yasutomi, Shin-ichi
- Journal Title
  
  AIP Conf. Proc.,Amer.Inst.Phys
  
  Volume: 1264 Pages: 139-149
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] An exact formula related to simultaneous approximations of p-adic numbers2019
- Author(s)
  田村純一
- Organizer
  Workshop「数論とエルゴード理論」
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Generation of a set of complex numbers satisfying certain Boolean inequality2018
- Author(s)
  Jun-ichi Tamura
- Organizer
  Workshop on Fractal Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Foundation of Rauzy fractals in the p-adic world2018
- Author(s)
  Jun-ichi Tamura
- Organizer
  Workshop on Fractal Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Some multi-dimensional continued fractions and the linear independence measure of related values2018
- Author(s)
  田村純一
- Organizer
  Workshop「数論とエルゴード理論」
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] p-adic substitutions, convergence theorems, and Rauzy fractals2017
- Author(s)
  田村純一
- Organizer
  Workshop「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
  2017-02-12
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Rauzy fractals in the p-adic world2017
- Author(s)
  Jun-ichi Tamura
- Organizer
  New Advances in Symbolic Dynamics
- Place of Presentation
  Marseille (France)
- Year and Date
  2017-02-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Convergence theorems of substitutions and Rauzy fractals in the p-adic world2017
- Author(s)
  Jun-Ichi Tamura
- Organizer
  Prime Numbers and Automatic Sequences: Determinism and Randomness
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Fractional calculi of substitutions, Rauzy fractals, and multidimensional complex continued fractions2016
- Author(s)
  Jun-ichi Tamura
- Organizer
  Workshop Number Theory and Ergodic Theory 2016
- Place of Presentation
  金沢大学サテライト・プラザ (石川県金沢市)
- Year and Date
  2016-02-08
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Fractional calculi of substitutions, Rauzy fractals, and diophantine approximation of complex numbers II2016
- Author(s)
  Jun-ichi Tamura
- Organizer
  Substitutions and Continued Fractions (satellite)
- Place of Presentation
  Lyon (France)
- Year and Date
  2016-03-16
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Fractional calculi of substitutions, Rauzy fractals, and diophantine approximation of complex numbers I2016
- Author(s)
  Jun-ichi Tamura
- Organizer
  Substitutions and Continued Fractions
- Place of Presentation
  Paris (France)
- Year and Date
  2016-03-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] p-adic substitutions and Rauzy fractals2016
- Author(s)
  Jun-ichi Tamura
- Organizer
  Analysis on Fractals and Graphs Workshop
- Place of Presentation
  Sanya (China)
- Year and Date
  2016-12-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Fractional calculus of substitutions and Rauzy fractals for imaginary directions2015
- Author(s)
  Jun-ichi Tamura
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  慶応義塾大学日吉キャンパス（神奈川県・横浜市）
- Year and Date
  2015-11-07
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Fractional calculi of substitutions, Rauzy fractals, and continued fractions2015
- Author(s)
  Jun-ichi Tamura
- Organizer
  Sino-Japanese Workshop on Dynamical Systems and Fractals 2016
- Place of Presentation
  Ningbo (China)
- Year and Date
  2015-12-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Fractional calculus of substitutions, the Kolakoski word, the Minkowski Question - Mark function and continued fractions2015
- Author(s)
  Jun-ichi Tamura
- Organizer
  Natural Extention of Arithmetic Algorithms and S-adic System
- Place of Presentation
  東京大学玉原国際セミナーハウス (群馬県沼田市)
- Year and Date
  2015-07-22
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] New classes of algorithms of multidimensional continued fraction and the generation of the group of units of algebraic number fields of higher degree2014
- Author(s)
  田村純一
- Organizer
  研究集会「数論とエルゴード理論」
- Place of Presentation
  金沢大学サテライトキャンパス(金沢)
- Year and Date
  2014-02-10
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] New classes of multidimensional continued fraction algorithms for algebraic number fields of higher degree and their applications2014
- Author(s)
  安冨真一, 田村純一
- Organizer
  Diophantine Analysis and Related Fields
- Place of Presentation
  筑波大学(つくば市)
- Year and Date
  2014-03-06
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] 新しい高次元連分数アルゴリズムとその応用2013
- Author(s)
  安冨真一, 田村純一
- Organizer
  研究集会「代数的整数論とその周辺」
- Place of Presentation
  京都大学数理解析研究所(京都)
- Year and Date
  2013-12-09
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] A new algorithm of continued fraction and the generation of stepped surface2013
- Author(s)
  Jun-ichi Tamura
- Organizer
  subtile2013
- Place of Presentation
  CIRM(France)
- Year and Date
  2013-01-13
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Algebraic units and multidimensional continued fraction algorithm for algebraic number fields of higher degree (1),(2)2013
- Author(s)
  田村純一, 安冨真一
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  アクロス福岡(福岡)
- Year and Date
  2013-09-10
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Multidimensional continued fraction algorithms and the group of units/quartic number fields2013
- Author(s)
  Jun-ichi Tamura
- Organizer
  Sino-Japanese Workshop on Fractals and Dynamic Systems
- Place of Presentation
  Morningside center of Mathematics(北京)
- Year and Date
  2013-12-26
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Pell-Fermat equations over composite fields2011
- Author(s)
  Jun-ichi Tamura
- Organizer
  Fractal geometry and Ergodic Thoery
- Place of Presentation
  北京morning side center
- Year and Date
  2011-12-29
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Some aspects of a multicontinued fraction algorithm2010
- Author(s)
  Yasutomi, Shin-ichi ; Tamura, Jun-ichi
- Organizer
  Functions in Number Theory and Their Probabilistic Aspects
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-17
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] New classes of multidimensional continued fraction algorithms for algebraic number fields of higher degree and their applications
- Author(s)
  田村純一, 安冨真一
- Organizer
  Diophantine Analysis and Related Fields 2014
- Place of Presentation
  筑波大学（茨城県つくば市）
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] A new algorithm of continued fraction and the generation of stepped surface
- Author(s)
  Jun-ichi Tamura
- Organizer
  Subtile2013
- Place of Presentation
  CIRM(France)
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] New classes of algorithms of multidimensional continued fraction and the generation of the group of units of algebraic number fields of higher degree
- Author(s)
  田村純一
- Organizer
  研究集会「数論とエルゴード理論」
- Place of Presentation
  金沢大学サテライトキャンパス（石川県金沢市）
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Multidimensional continued fraction algorithms and the group of units/quartic number fields
- Author(s)
  Jun-ichi　Tamura
- Organizer
  Sino-Japanese Workshop on Fractals and Dynamic Systems
- Place of Presentation
  Morningside center of Mathematics(北京)
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Algebraic units and multidimensional continued fraction algorithm for algebraic number fields of higher degree (1)
- Author(s)
  田村純一, 安冨真一
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  アクロス福岡（福岡県福岡市）
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] 新しい高次元連分数アルゴリズムとその応用
- Author(s)
  安冨真一, 田村純一
- Organizer
  研究集会「代数的整数論とその周辺」
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Norm equations of certain biquadratic number fields, and simultaneous approximation of three quadratic irrationalities
- Author(s)
  Jun-ichi Tamura
- Organizer
  Numeration and substitution 2012
- Place of Presentation
  数理解析研究所（京都）
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] Algebraic units and multidimensional continued fraction algorithm for algebraic number fields of higher degree (1)
- Author(s)
  安冨真一, 田村純一
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  アクロス福岡（福岡県福岡市）
- Data Source
  KAKENHI-PROJECT-22540037

1. YASUTOMI Shin'ichi (60230231)

# of Collaborated Projects: 4 results

# of Collaborated Products: 11 results
2. OGAWA Shigeyoshi (80101137)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. AKIYAMA Shigeki (60212445)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. Saito Asaki (60344040)

# of Collaborated Projects: 2 results

# of Collaborated Products: 5 results
5. 山口明宏 (60281789)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. ITO Shunji (30055321)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. FUJISAKI Hiroshi (80304757)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 村山立人 (80360650)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tamura Jun-ichi 田村 純一

田村 純一 タムラ ジュンイチ

TAMURA Jun'ichi 田村 純一

Research Projects

Research Products

Co-Researchers

数論と力学系との融合による擬似乱数および準乱数生成アルゴリズムの構築とその応用

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Development of true orbit computation: analysis of nonlinear phenomena and application to pseudorandom number generation

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Multidimensional continued fraction algorithm

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematics of quasi-periodic tilings and their applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Continued fraction algorithms and Lagrange's theorem in Q_p2019

Author(s)

Journal Title

Data Source

[Journal Article] Multidimensional p-adic continued fraction algorithms2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Multidimensional p-adic continued fraction algorithms2018

Author(s)

Journal Title

Data Source

[Journal Article] p進数体上の連分数アルゴリズムとその周期性2018

Author(s)

Journal Title

Data Source

[Journal Article] Substitutions over C-powered symbols, and Rauzy fractals for imaginary directions2016

Author(s)

Journal Title

Data Source

[Journal Article] Dual substitutions over R > 0-powered symbols2016

Author(s)

Journal Title

Data Source

[Journal Article] True orbit simulation of piecewise linear and linear fractional maps of arbitrary dimension using algebraic numbers2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A p-adic phenomenon related to certain integer matrices, and p-adic values of a multidimensional continued fraction2012

Author(s)

Journal Title

Data Source

[Journal Article] Some aspects of multidimensional continued fraction algorithms2012

Author(s)

Journal Title

Data Source

[Journal Article] A NEW ALGORITHM OF CONTINUED FRACTIONS RELATED TO REAL ALGEBRAIC NUMBER FIELDS OF DEGREE≦52011

Author(s)

Journal Title

URL

Data Source

[Journal Article] A NEW ALGORITHM OF CONTINUED FRACTIONS RELATED TO REAL ALGEBRAIC NUMBER FIELDS OF DEGREE ≦52011

Author(s)

Journal Title

Data Source

[Journal Article] Algebraic Jacobi-Perron algorithm, for biquadratic numbers2010

Author(s)

Journal Title

Tamura Jun-ichi 田村純一

田村純一タムラジュンイチ

TAMURA Jun'ichi 田村純一