Yasutomi Shinichi 安富真一

… Alternative Names

安富真一ヤストミシンイチ

YASUTOMI Shin'ichi 安富真一

Less

Researcher Number	60230231
Other IDs
Affiliation (Current)	2025: 東邦大学, 理学部, 訪問教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 東邦大学, 理学部, 教授 2015 – 2018: 東邦大学, 理学部, 教授 2012 – 2013: 東邦大学, 理学部, 教授 2007 – 2011: 鈴鹿工業高等専門学校, 教養教育科, 教授 2009: 鈴鹿工業高等専門学校, 教養教育, 教授 … More 2006: 鈴鹿工業高等専門学校, 教授 2005: Suzuka National College of Technology, General Education, Professor, 一般科目, 教授 2002 – 2005: 鈴鹿工業高等専門学校, 一般科目, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Basic Section 61040:Soft computing-related / Soft computing / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 同時近似問題 / Jacobi-Perron Algorithm / simultaneous approximation / Markov spectrum / Diophantine approximation / ヤコーペロンアルゴリズム / マルコフスペクトラム / 非斉次近似 / ヤコービ・ペロンアルゴリズム / ヤコービペロンアルゴリズム … More / マルコフスペクトル / 数の近似 / 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 / 連分数 … More Except Principal Investigator p進数 / 擬似乱数 / カオス / 真軌道計算 / ニュートン法 / 超一様分布列 / 乱数検定 / Lagrangeの定理 / 連分数 / 代数的数 / 非線形現象 / 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 algorithmPrincipal Investigator
- 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
Markov spectrum in various Diophantine approximation problemsPrincipal Investigator
- Principal Investigator
  
  YASUTOMI Shin-ichi
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Suzuka National College of Technology

All 2019 2018 2017 2016 2015 2013 2012 2011 2010 2007 2005 2003 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] 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] 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
[Journal Article] On simultaneous Diophantine approximation to periodic points related to modified Jacobi-Perron algorithm2007
- Author(s)
  Shuuji lto and Shin-ichi Yasutomi
- Journal Title
  
  Advanced Studies in Pure Mathematics 49
  
  Pages: 171-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340023
[Journal Article] On simultaneous Diophantine approximation to periodic points related to modified Jacobi-Perron algorithm2007
- Author(s)
  S. Ito, S. Yasutomi
- Journal Title
  
  Advanced Studies in Pure Mathematics 49
  
  Pages: 171-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340023
[Journal Article] On simultan eous Diophantine approximation to periodic points related to modified Jacobi-Perron algorithm2007
- Author(s)
  伊藤俊次, 安富真一
- Journal Title
  
  Advanced Studies in Pure Mathematics 49巻
  
  Pages: 171-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340023
[Journal Article] On a new algorithm for inhomogeneous Diophantine approximation2005
- Author(s)
  Yasutomi, Shin-ichi
- Journal Title
  
  TSUKUBA JOURNAL OF MATHEMATICS 29,No.1
- Data Source
  KAKENHI-PROJECT-14540052
[Journal Article] On a new algorithm for inhomogeneous Diophantine approximation2005
- Author(s)
  Yasutomi, Shin-ichi
- Journal Title
  
  TSUKUBA JOURNAL OF MATHEMATICS 29,no.1
  
  Pages: 173-195
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540052
[Journal Article] On a new algorithm for inhomogeneous Diophantine approximation2005
- Author(s)
  Yasutomi Shin-ichi
- Journal Title
  
  Tsukuba Journal of Mathematics vol.29, no.1
  
  Pages: 173-195
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540052
[Journal Article] On simultaneous approximation to (a,a^2) with α^3+kα-1=02003
- Author(s)
  Ito, Shunji, Fujii, Junko, Higashino, Hiroko, Yasutomi, Shin-ichi
- Journal Title
  
  Journal of Number Theory 99,no.2
  
  Pages: 255-283
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540052
[Journal Article] On simultaneous approximation to (α,α^2) with α^3+kα-1=02003
- Author(s)
  Ito Shunji, Fujii Junko, Higashino, Hiroko, Yasutomi, Shin-ichi
- Journal Title
  
  Journal of Number Theory voi.99, no.2
  
  Pages: 255-283
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540052
[Presentation] Certain multidimension p-adic continued fraction algorithm and cubic numbers2018
- Author(s)
  Shin-Ichi Yasutomi
- Organizer
  Diophantine Analysis and Related Fields 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] On p-reduced lattice and multidimensional p-adic continued fraction algorithms2017
- Author(s)
  Shin-Ichi Yasutomi
- Organizer
  Analytic Number Theory and Related Areas
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Multidimensional p-adic continued fraction algorithms and cubic number fields2017
- Author(s)
  Shin-Ichi Yasutomi
- Organizer
  Workshop “Number Theoretical Aspects of Tilings and Dynamics”
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Multidimensional p-adic continued fraction algorithms and p-reduced matrices2017
- Author(s)
  Shin-Ichi Yasutomi
- Organizer
  Prime Numbers and Automatic Sequences: Determinism and Randomness
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Generation of stepped surfaces via modified Jacobi-Perron algorithm and cubic numbers2016
- Author(s)
  Shin-ichi Yasutomi
- 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] Generalization of stepped surfaces2016
- Author(s)
  Shin-ichi Yasutomi
- 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] On multidimensional p-adic continued fraction2016
- Author(s)
  Shin-ichi Yasutomi
- Organizer
  Analysis on Fractals and Graphs Workshop
- Place of Presentation
  Sanya (China)
- Year and Date
  2016-12-29
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] Dual fractional substitutions2015
- Author(s)
  Shin-ichi Yasutomi
- 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] Certain multidimensional continued fraction algorithm2015
- Author(s)
  Shin-ichi Yasutomi
- 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
  2015-07-24
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00342
[Presentation] On the generation of a stepped surface by the modified Jacobi-Perron algorithm2013
- Author(s)
  Shin-ichi Yasutomi
- Organizer
  subtile2013
- Place of Presentation
  CIRM(France)
- Year and Date
  2013-01-13
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] A new multidimensional slow continued fraction algorithm and its application2012
- Author(s)
  Shin-ichi Yasutomi
- Organizer
  Numeration and substitution 2012
- Place of Presentation
  数理解析研究所(京都)
- Year and Date
  2012-06-06
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] On multidimensional continued fraction algorithm2011
- Author(s)
  Shin-ichi Yasutomi
- 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] Multidimensional Farey type algorithm2011
- Author(s)
  Yasutomi, Shin-ichi
- 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
- Year and Date
  2011-02-19
- 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] On the genaration of stepped surfaces via modified Jacobi-Perron algorithm
- Author(s)
  Shin-ichi YASUTOMI
- Organizer
  Sino-Japanese Workshop on Fractals and Dynamic Systems
- Place of Presentation
  Morningside center of Mathematics(北京)
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] A new multidimensional slow continued fraction algorithm and its application
- Author(s)
  Shin-ichi Yasutomi
- Organizer
  Numeration and substitution 2012
- Place of Presentation
  数理解析研究所（京都）
- Data Source
  KAKENHI-PROJECT-22540037
[Presentation] On the generation of a stepped surface by the modified Jacobi-Perron algorithm
- Author(s)
  Shin-ichi Yasutomi
- Organizer
  Subtile2013
- Place of Presentation
  CIRM(France)
- Data Source
  KAKENHI-PROJECT-22540037

1. TAMURA Jun'ichi (90418905)

# of Collaborated Projects: 5 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: 3 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: 2 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

Yasutomi Shinichi 安富 真一

安富 真一 ヤストミ シンイチ

YASUTOMI Shin'ichi 安富 真一

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 algorithmPrincipal Investigator

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

Markov spectrum in various Diophantine approximation problemsPrincipal Investigator

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] 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] 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

Data Source

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

Author(s)

Journal Title

Data Source

[Journal Article] On simultaneous Diophantine approximation to periodic points related to modified Jacobi-Perron algorithm2007

Yasutomi Shinichi 安富真一

安富真一ヤストミシンイチ

YASUTOMI Shin'ichi 安富真一