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Tokihiro Tetsuji  時弘 哲治

ORCIDConnect your ORCID iD *help
… Alternative Names

TOKIHIRO Tetsuji  時弘 哲治

時弘 哲治  トキヒロ テツジ

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Researcher Number 10163966
Other IDs
External Links
Affiliation (Current) 2025: 武蔵野大学, 工学部, 教授
2025: 東京大学, 大学院数理科学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2022 – 2024: 武蔵野大学, 工学部, 教授
2016 – 2022: 東京大学, 大学院数理科学研究科, 教授
2012 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授
2007 – 2011: The University of Tokyo, Graduate School of Mathematical Sciences, Professor
2005 – 2006: The University of Tokyo, Graduate School of Mathematical Sciences., Professor, 大学院数理科学研究科, 教授 … More
1999 – 2005: Graduate School of Mathematical Sciences, The University of Tokyo, Professor, 大学院・数理科学研究科, 教授
1995 – 1998: Univ. of Tokyo, Dept. of Math. Sci., Asoc. Prof., 大学院・数理科学研究科, 助教授
1994: 同志社大学, 工学部, 講師
1994: 東京大学, 工学部, 講師
1988 – 1989: 東京大学, 工学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Global analysis / Basic Section 12040:Applied mathematics and statistics-related / Basic Section 12020:Mathematical analysis-related / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Engineering fundamentals / 固体物性Ⅰ(光物性・半導体・誘電体)
Except Principal Investigator
Global analysis … More / Engineering fundamentals / Basic Section 12020:Mathematical analysis-related / 物性一般(含基礎論) / General mathematics (including Probability theory/Statistical mathematics) / 解析学 Less
Keywords
Principal Investigator
セルオートマトン / 超離散系 / 箱玉系 / 可積分系 / 離散可積分系 / 超離散化 / 可解格子模型 / 離散力学系 / クリスタル / cellular automaton … More / Hietarinta-Viallet方程式 / co-primeness / 線形化可能系 / 代数的エントロピー / Laurent性 / co-primeness条件 / 準可積分系 / ソリトン / トロピカル / 特異値閉じ込め / 逆超離散化 / 有限体 / タイトバインディングフォトン / 励起子ポラリトン / 励起子 / 楕円体粒子モデル / 形態形成 / 離散数理モデル / 内皮細胞動態 / 血管新生 / 準可積分性 / 交通流 / 準離散可積分系 / analitic reduction / 離散方程式 / Hietarinta-Viallet 方程式 / ファジーセルオートマトン / 離散準可積分系 / Toda equation / tropical geometry / integrable lattice model / quantum algebra / Box-Ball System / Cellular Automaton / ultradiscrete integrable system / discrete integrable system / セルオートマン / 離散系 / 戸田方程式 / トロピカル幾何 / 量子代数 / 超離散可積分系 / tropical / crystal theory / integrable lattice models / integrable systems / ultradiscrete systems / 超散系 / 可解格子構造 / box-ball system / nonautonomous KP equation / soliton / integrable system / Darboux変換 / 特殊函数 / Yang-Baxter 関係式 / Box-Ball system / 非自立離散KP方程式 / 得意点閉じ込め / 離散KdV方程式 / 戸田格子方程式 / 離散戸田方程式 / LP代数 / coprimeness / 超離散 / 特異点閉じ込め / トロピカル曲線 / フレドキンゲーム / BZ反応 / 反応拡散化 / 逆超拡散化 / 超拡散化 / 確率モデル / 反応拡散系 / 離散パンルベ方程式 / ソリトン方程式 / ガルニエ系 / パンルヴェ方程式 / 安定な逆超離散化 / 血圧 / 生体システム / ポラリトン / 超短パルス / メソスコピック系 / 量子効果 / 超短パルスレーザー / 相転移 / 量子スピン / 光学スペクトル … More
Except Principal Investigator
可積分系 / 差分方程式 / ソリトン / セルオートマトン / パンルヴェ方程式 / Soliton / 超離散化 / 対称性 / 超離散 / 戸田方程式 / 数値解析 / Integrable System / 離散力学系 / ガルニエ系 / パンルベ方程式 / ペンローズ格子 / コンダクタンスゆらぎ / 局在状態 / 自己相似 / 電子構造 / 準結晶 / 爆発境界 / 初期値問題 / 有限時間爆発 / 波動方程式 / Ultradiscrete System / Symmetry / Painleve Equations / Difference Equations / Complete Integrability / 超離散系 / 完全積分可能性 / error estimation / first principles calculation / ordered N / aperiodic system / Green function / recursive polynomials / 直交多項式展開 / 誤差評価 / 第一原理計算 / オーダーN法 / 不規則系 / グリーン関数 / 直交多項式展開法 / Discrete Soliton / Extensible String / KP方程式 / 離散ソリトン / 弾性体の大変形 / Painleve Equation / Singularity Confinement / Ultra-discretization / Difference Equation / 特異性の閉じ込め / Birational canonical / Garnier systems / Painleve equations / Hypergeometric functions / Special functions / Monodromy / Deformation theory / Integrable system / 線型偏微分方程式系 / 梯子構造 / ホロノミック / 多変数特殊関数 / 双有理正準変換 / 超幾何函数 / 多変数特殊函数 / モノドロミ- / 変形理論 / 完全積分可能系 / system theory / Volterra system / Toda equation / inverse scattering / cellular automaton / QR method / integrability / soliton / 数列の加速 / システム理論 / ボルテラ系 / 逆散乱法 / QR法 / 繰り込み群 / 量子拡散 / 9-差分系 / 差分系 / ソリトン方程式 / 非線型可積分系 / ソーティング / 加速法 / 数列加速 / 特異性閉じ込め / フラクタル / フィボナッチ格子 Less
  • Research Projects

    (30 results)
  • Research Products

    (61 results)
  • Co-Researchers

    (51 People)
  •  Exploration of new global analysis on blow-up solutions for nonlinear hyperbolic partial differential equations

    • Principal Investigator
      佐々木 多希子
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Musashino University
  •  Mathematical model for blood vessel network construction based on endothelial cell dynamicsPrincipal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Musashino University
  •  Studies on discrete quasi-integrable systemsPrincipal Investigator

    • Principal Investigator
      Tokihiro Tetsuji
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  Study on cellular automata derived from discrete integrable systemsPrincipal Investigator

    • Principal Investigator
      Tokihiro Tetsuji
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Study on the integrable structure of ultradiscrete systemsPrincipal Investigator

    • Principal Investigator
      TOKIHIRO Tetsuji
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  確率セルオートマトンへの超離散化および逆超離散化の研究とその応用Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  国際研究集会「離散可積分系理論の新展開(仮題)」に関する企画調査Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  Mathematics on discrete and ultradiscrete integrable systems and its applicationPrincipal Investigator

    • Principal Investigator
      TOKIHIRO Tetsuji
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  超離散パンルヴェ系の研究Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  非線形微分方程式の超離散化と工学システム

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Engineering fundamentals
    • Research Institution
      The University of Tokyo
  •  Symmetry and Complete Integrability of Nonlinear Difference Equations

    • Principal Investigator
      SATSUMA Junkichi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Aoyama Gakuin University
      The University of Tokyo
  •  非線形可積分系の理論

    • Principal Investigator
      岡本 和夫
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  非線形偏微分方程式の超離散解析

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  生体システムの超離散解析Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Engineering fundamentals
    • Research Institution
      The University of Tokyo
  •  Mathematics in ultradiscrete integrable systemsPrincipal Investigator

    • Principal Investigator
      TOKIHIRO Tetsuji
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  Scheme to evaluate the Green function by recursive polynomial expansion, and its applications

    • Principal Investigator
      TANAKA Hiroshi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      物性一般(含基礎論)
    • Research Institution
      Shimane University
  •  差分方程式の対称性と可積分性

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  微分方程式の超離散化と非線形工学システム

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Engineering fundamentals
    • Research Institution
      The University of Tokyo
  •  Complete Integrability and Structure of Solutions for Nonlinear Discrete Equations

    • Principal Investigator
      SATSUMA Junkichi
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  Analysis and Control of Multi-body Dynamics by Nonlinear Discrete Integrable Theory

    • Principal Investigator
      SATSUMA Junkichi
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  Analysis and Application of Integrable Cellular AutomatonPrincipal Investigator

    • Principal Investigator
      TOKIHIRO Tetsuji
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  超短パルスに対する微小励起子ポラリトン系の光学応答Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  工学に現れる非線形差分方程式とその解

    • Principal Investigator
      SATSUMA Junkichi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Engineering fundamentals
    • Research Institution
      The University of Tokyo
  •  超短パルスに対する微小励起子ポラリトン系の光学応答Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  超短パルスに対する微小励起子ポラリトン系の光学応答Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  Application of Soliton Theory to Engineering

    • Principal Investigator
      SATSUMA Junkichi
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Engineering fundamentals
    • Research Institution
      University of Tokyo
  •  The theory of transformation groups and its application

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  2次元励起子系における量子揺らぎと双極子配向秩序揺らぎの光学応答への影響Principal Investigator

    • Principal Investigator
      時弘 哲治
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      固体物性Ⅰ(光物性・半導体・誘電体)
    • Research Institution
      The University of Tokyo
  •  準結晶の電子状態・物性の理論

    • Principal Investigator
      上村 洸
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  準結晶の電子状態・物性の理論

    • Principal Investigator
      上村 〓
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2002 Other

All Journal Article Presentation Book

  • [Book] 箱玉系の数理2010

    • Author(s)
      時弘哲治
    • Total Pages
      177
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Book] 箱玉系の数理2010

    • Author(s)
      時弘哲治
    • Total Pages
      177
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Slow-to-start CA 交通流モデルの安定性2023

    • Author(s)
      時弘哲治
    • Journal Title

      武蔵野大学数理工学センター紀要

      Volume: 8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H01127
  • [Journal Article] Pattern formation of elliptic particles by two-body interactions: A model for dynamics of endothelial cells in angiogenesis2022

    • Author(s)
      Tatsuya Hayashi, Fumitaka Yura, Jun Mada, Hiroki Kurihara, Tetsuji Tokihiro
    • Journal Title

      Journal of Theoretical Biology

      Volume: 555 Pages: 1-11

    • DOI

      10.1016/j.jtbi.2022.111300

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22K03421, KAKENHI-PROJECT-23K22408
  • [Journal Article] Rule 184 fuzzy cellular automaton as a mathematical model for traffic flow2021

    • Author(s)
      Higashi Kohei、Satsuma Junkichi、Tokihiro Tetsuji
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 38 Issue: 2 Pages: 579-609

    • DOI

      10.1007/s13160-021-00461-3

    • NAID

      210000159939

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H01127
  • [Journal Article] Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type2020

    • Author(s)
      Ryo Kamiya, Masataka Kanki, Takafumi Mase, and Tetsuji Tokihiro,
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B78

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H01127
  • [Journal Article] Cohesive and anisotropic vascular endothelial cell motility driving angiogenic morphogenesis2019

    • Author(s)
      Takubo Naoko、Yura Fumitaka、Naemura Kazuaki、Yoshida Ryo、Tokunaga Terumasa、Tokihiro Tetsuji、Kurihara Hiroki
    • Journal Title

      Scientific Reports

      Volume: 9 Issue: 1 Pages: 1-9

    • DOI

      10.1038/s41598-019-45666-2

    • NAID

      120006709405

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K06578, KAKENHI-PROJECT-19H01048, KAKENHI-PROJECT-18H01127
  • [Journal Article] On the Coprimeness Property of Discrete Systems without the Irreducibility Condition2018

    • Author(s)
      Kanki Masataka、Mase Takafumi、Tokihiro Tetsuji
    • Journal Title

      Symmetry, Integrability and Geometry: Methods and Applications

      Volume: 14 Pages: 065-065

    • DOI

      10.3842/sigma.2018.065

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K14211, KAKENHI-PROJECT-18K13438, KAKENHI-PROJECT-26400109, KAKENHI-PROJECT-18H01127
  • [Journal Article] A two-dimensional lattice equation as an extension of the Heideman-Hogan recurrence2018

    • Author(s)
      Ryo Kamiya, Masataka Kanki, Takafumi Mase, and Tetsuji Tokihiro
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 51 Issue: 12 Pages: 125203-125203

    • DOI

      10.1088/1751-8121/aaad47

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400109, KAKENHI-PROJECT-17K14211, KAKENHI-PROJECT-16H06711, KAKENHI-PROJECT-18H01127
  • [Journal Article] Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation2017

    • Author(s)
      Ryo Kamiya, Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro
    • Journal Title

      Journal of Mathematical Physics

      Volume: 58 Issue: 1 Pages: 012702-012702

    • DOI

      10.1063/1.4973744

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H06128, KAKENHI-PROJECT-16H06711, KAKENHI-PROJECT-26400109
  • [Journal Article] Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields2016

    • Author(s)
      Masataka Kanki, Yuki Takahashi and Tetsuji Tokihiro
    • Journal Title

      NOLTA

      Volume: 7 Issue: 3 Pages: 338-353

    • DOI

      10.1587/nolta.7.338

    • NAID

      130005161833

    • ISSN
      2185-4106
    • Language
      English
    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Journal Article] Singularity confinement and chaos in two-dimensional discrete systems2016

    • Author(s)
      Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 49 Issue: 23 Pages: 23LT01-23LT01

    • DOI

      10.1088/1751-8113/49/23/23lt01

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15H06128, KAKENHI-PROJECT-16H06711, KAKENHI-PROJECT-26400109
  • [Journal Article] Algebraic entropy of an extended Hietarinta-Viallet equation2015

    • Author(s)
      Masataka Kanki, Takafumi Mase and Tetsuji Tokihiro
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 48 Issue: 35 Pages: 355202-355202

    • DOI

      10.1088/1751-8113/48/35/355202

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400109, KAKENHI-PROJECT-15H06128, KAKENHI-PROJECT-13J03088
  • [Journal Article] Integrability criterion in terms of cop rime property for the discrete Toda equation2015

    • Author(s)
      M. Kanki, J. Mada, T. Tokihiro
    • Journal Title

      Journal of Mathematical Physics

      Volume: 56 Issue: 2 Pages: 022706-022706

    • DOI

      10.1063/1.4908109

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-14J00242, KAKENHI-PROJECT-26400107, KAKENHI-PROJECT-26800075, KAKENHI-PROJECT-26400109
  • [Journal Article] Coupled discrete KdV equations and modular genetic networks2015

    • Author(s)
      A. S. Carstea and T. Tokihiro
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 48 Issue: 5 Pages: 055205-055205

    • DOI

      10.1088/1751-8113/48/5/055205

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Journal Article] Singularities of the discrete KdV equation and the Laurent property2014

    • Author(s)
      KANKI, Masataka
    • Journal Title

      Journal of Physics A : Mathematical and Theoretical

      Volume: 47 Issue: 6 Pages: 65201-65201

    • DOI

      10.1088/1751-8113/47/6/065201

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
  • [Journal Article] Irreducibility and co-primeness as an integrability criterion for discrete equations2014

    • Author(s)
      Masataka Kanki, Jun Mada, Takafumi Mase and Tetsuji Tokihiro
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 47

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Journal Article] Discrete Painleve equations and discrete KdV equations over finite fields2013

    • Author(s)
      M.Kanki, J.Mada and T.Tokihiro
    • Journal Title

      RIMS Kokyurou Bessatsu

      Volume: B41

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] The space of initial conditions and the property of an almost good reduction in discrete Painleve II equations over finite fields2013

    • Author(s)
      KANKI, Masataka
    • Journal Title

      Journal of Nonlinear Mathematical Physics

      Volume: 20 Supplement 1 Issue: Supplement 1 Pages: 101-109

    • DOI

      10.1080/14029251.2013.862437

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
  • [Journal Article] Discrete integrable equations over finite fields2012

    • Author(s)
      KANKI, Masataka
    • Journal Title

      SIGMA

      Volume: 8 Pages: 1-12

    • DOI

      10.3842/sigma.2012.054

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
  • [Journal Article] Soliton Solutions of a Generalized Discrete KdV Equation2012

    • Author(s)
      KANKI, Masataka
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 81 Issue: 8 Pages: 1-5

    • DOI

      10.1143/jpsj.81.084002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
  • [Journal Article] Discrete Painleve II equation over finite fields2012

    • Author(s)
      KANKI, Masataka
    • Journal Title

      J. Phys. A : Math. Theor.

      Volume: 45 Issue: 34 Pages: 1-8

    • DOI

      10.1088/1751-8113/45/34/342001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
  • [Journal Article] A path preference cellular-automaton model for traffic flow through transit points and its application to the transcription process in biology2012

    • Author(s)
      Yoshihiro Ohta, Akinobu Nishiyama, Yoichiro Wada, Yijun Ruan, Tatsuhiko Kodama, Takashi Tsuboi, Tetsuji Tokihiro and Sigeo Ihara
    • Journal Title

      Phys. Rev. E

      Volume: 86 Issue: 2 Pages: 021918-021918

    • DOI

      10.1103/physreve.86.021918

    • URL

      http://link.aps.org/doi/10.1103/PhysRevE.86.021918

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-22310117, KAKENHI-PROJECT-23540071, KAKENHI-PROJECT-23651201, KAKENHI-PROJECT-24224002, KAKENHI-PROJECT-24500360
  • [Journal Article] Direct ultradiscretization of Ai and Bi functions and special solutions to Painelevé II equation2012

    • Author(s)
      S. Isojima, J. Satsuma and T. Tokihiro
    • Journal Title

      J. Phys. A : Math. Theor

      Volume: 45 Issue: 15 Pages: 155203-155203

    • DOI

      10.1088/1751-8113/45/15/155203

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-21760063, KAKENHI-PROJECT-24560078
  • [Journal Article] Conserved quantities and generalized solutions of the ultradiscrete KdV equation2011

    • Author(s)
      Masataka Kanki, Jun Mada and Tetsuji Tokihiro
    • Journal Title

      J. Phys.A : Math. Theor

      Volume: 44 Issue: 14 Pages: 145202-145202

    • DOI

      10.1088/1751-8113/44/14/145202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Construction of an Isotropic Cellular Automaton for a Reaction-Diffusion Equation by Means of a Random Walk2011

    • Author(s)
      A. Nishiyama and T. Tokihiro
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 80, No.5 Issue: 5 Pages: 054003-054003

    • DOI

      10.1143/jpsj.80.054003

    • NAID

      40018798409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Two point correlation functions for a periodic box-ball system2011

    • Author(s)
      J. Mada and T. Tokihiro
    • Journal Title

      SIGMA

      Volume: 7

    • DOI

      10.3842/sigma.2011.027

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Existence and non-existence of global solutions for a discrete semilinear heat equation2011

    • Author(s)
      K. Matsuya and T. Tokihiro
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 31 Issue: 1 Pages: 209-220

    • DOI

      10.3934/dcds.2011.31.209

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Correlation functions for a periodic box-ball system2010

    • Author(s)
      J. Mada and T. Tokihiro
    • Journal Title

      J. Phys. A : Math. Theor

      Volume: 43 Issue: 13 Pages: 135205-135205

    • DOI

      10.1088/1751-8113/43/13/135205

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Modelling the morphology of migrating bacterial colonies2010

    • Author(s)
      A. Nishiyama, T. Tokihiro, M. Badoual and B. Grammaticos
    • Journal Title

      Physica D : Nonlinear Phenomena

      Volume: 239 Pages: 1573-1580

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Journal Article] Derivation of a differentinal equation exhibiting replicative time-evolution patterns by inverse ultra-discretization2009

    • Author(s)
      H. Tanaka, A. Nakajima, A. Nishiyama, T. Tokihiro
    • Journal Title

      Journal of the Physical Society of Japan 78

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654016
  • [Journal Article] Asymptotic behavior of fundamental cycle of periodic box-ball systems : a number theoretical aspect2005

    • Author(s)
      T.Tokihiro
    • Journal Title

      Glasgow Mathematical Journal 47A

      Pages: 199-199

    • Data Source
      KAKENHI-PROJECT-16204009
  • [Journal Article] Asymptotic behavior of fundamental cycle of periodic box-ball systems : a number theoretical aspect2005

    • Author(s)
      T.Tokihiro
    • Journal Title

      Glasgow Math.J. Vol.47A

      Pages: 199-204

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340053
  • [Journal Article] Asymptotic behavior of fundamental cycle of periodic box-ball systems : a number theoretical aspect2005

    • Author(s)
      T.Tokihiro
    • Journal Title

      Glasgow Math. J. Vol. 47A

      Pages: 199-204

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340053
  • [Journal Article] From the continuous PV to discrete Painleve equations2002

    • Author(s)
      T.Tokihiro
    • Journal Title

      J. Phys. A : Math. Gen. Vol. 35

      Pages: 5943-5950

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340053
  • [Journal Article] From the continuous PV to discrete Painleve equations2002

    • Author(s)
      T.Tokihiro
    • Journal Title

      J.Phys.A : Math.Gen. Vol.35

      Pages: 5943-5950

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340053
  • [Presentation] 内皮細胞動態の数理モデル2022

    • Author(s)
      時弘哲治
    • Organizer
      武蔵野大学数理工学センター長門研究集会-細胞動態の数理モデルとその周辺
    • Data Source
      KAKENHI-PROJECT-23K22408
  • [Presentation] Mathematical model for the dynamics of endothelial cells in angiogenesis2019

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      The 38th JSST Annual International Conference on Simulation Technology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01127
  • [Presentation] Coprimeness condition as an algebraic reinterpretation of singularity confinement2016

    • Author(s)
      時弘哲治
    • Organizer
      応用数理学会
    • Place of Presentation
      北九州国際会議場
    • Year and Date
      2016-09-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Presentation] On quasi-integrable extension of 2D Toda equation2016

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      The 3rd China-Japan Joint Workshop on Integrable Systems
    • Place of Presentation
      Shaanxi Normal University, Xi’an (China)
    • Year and Date
      2016-08-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Presentation] Coprimeness as a quasi-integrability criterion for discrete equations2015

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      Workshop "Topics on tropical geometry, integrable systems and positivity"
    • Place of Presentation
      青山学院大学
    • Year and Date
      2015-12-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Presentation] Integrable Equations over Finite Fields2013

    • Author(s)
      時弘哲治
    • Organizer
      Conference on Nonlinear Mathematical Physics: Twenty Years of JNMP
    • Place of Presentation
      Sophus Lie Conference Center (Norway)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Integrable difference equations over finite fields2013

    • Author(s)
      時弘哲治
    • Organizer
      Special week seminar on integrable systems and related topics 2013
    • Place of Presentation
      Academia Sinica (Taiwan)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Irreducibility and co-primness of the discrete KdV equation as functions of initial data2013

    • Author(s)
      時弘哲治
    • Organizer
      Special week seminar on integrable systems and related topics 2013
    • Place of Presentation
      Academia Sinica (Taiwan)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] On negative soliton solution to ultradiscrete KdV equation2011

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      The Seventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
    • Place of Presentation
      The University of Georgia, Athens, GA USA
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Ultradiscrete KdV equation and Box-Ball System2011

    • Author(s)
      T.Tokihiro
    • Organizer
      International Conference : Tropical Geometry and Integrable Systems
    • Place of Presentation
      University of Glasgow (Scotland)(招待講演)
    • Year and Date
      2011-07-08
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Ultradiscrete KdV equation and Box-Ball System2011

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      Tropical Geometry and Integrable Systems
    • Place of Presentation
      University of Glasgow
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Correlation function of periodic box-ball system2010

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      China-Japan Joint Workshop on Integrable Systems
    • Place of Presentation
      Shaoxing, China
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Correlation function for the periodic box-ball system2010

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      Satellite conference of the ICM2010 : Integrable Systems and Geometry
    • Place of Presentation
      Pondicherry University, India
    • Year and Date
      2010-08-16
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Correlation function for the periodic box-ball system2010

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      Satellite cinference of ICM 2010, Integrable Systems and Geometry
    • Place of Presentation
      Pondicherry University, India
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Correlation function of box-ball system2010

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      China-Japan Joint Workshop on Integrable Systems
    • Place of Presentation
      Shaoxing, China
    • Year and Date
      2010-01-08
    • Data Source
      KAKENHI-PROJECT-21340034
  • [Presentation] Periodic Box-Ball System : an Integrable Cellular Automaton2008

    • Author(s)
      T. Tokihiro
    • Organizer
      Second Workshop on Nonlinearity and Geometry-Darboux Days-
    • Place of Presentation
      Banach Center, Bedlewo, Poland
    • Year and Date
      2008-04-17
    • Data Source
      KAKENHI-PROJECT-16204009
  • [Presentation] Ultra discrete systems2008

    • Author(s)
      T. Tokihiro
    • Organizer
      Workshop on lntegrable Systems, US Mathematics Initiative, Department of Mathematics, Indian Institute of Science
    • Place of Presentation
      Bangalore, India
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204009
  • [Presentation] ランダムウォークを用いた反応拡散系の等方的CAモデル2007

    • Author(s)
      西山了允, 時弘哲治, 田中宏志
    • Organizer
      日本物理学会 第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-24
    • Data Source
      KAKENHI-PROJECT-19654016
  • [Presentation] The exact correspondence between conserved quantities of a periodic box-ball system and string solutions of the Bethe ansatz equations2006

    • Author(s)
      T. Tokihiro
    • Organizer
      Symmetries and Integrability of Difference Equations (SIDE) VII
    • Place of Presentation
      Melbourne, Australia
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204009
  • [Presentation] The exact correspondence between conserved quantities of a periodic box-ball system and string solutions of the Bethe ansatz equations2006

    • Author(s)
      T. Tokihiro
    • Organizer
      Symmetries and Integrabi1ity of Difference Equations (SIDE) VII
    • Place of Presentation
      Melbourne, Australia
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204009
  • [Presentation] On Periodic Box-Ball Systems2005

    • Author(s)
      T. Tokihiro
    • Organizer
      the COE conference: Nonlinear integrable systems and their real worlds applications
    • Place of Presentation
      Tokyo, Japan
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204009
  • [Presentation] Periodic Box-Ball System and Riemann Hypothesis2005

    • Author(s)
      T. Tokihiro
    • Organizer
      The International Conference on Applied Mathematics
    • Place of Presentation
      Taipei, Taiwan
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204009
  • [Presentation] Integrable systems over finite fields

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      International Conference on Symmetries and Integrability in Difference Equations
    • Place of Presentation
      Indian Institute of Science (India)
    • Year and Date
      2014-07-16 – 2014-07-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Presentation] Ultradiscrete Systems

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      Workshop on Discrete Integrable Systems
    • Place of Presentation
      Indian Institute of Science (India)
    • Year and Date
      2014-07-09 – 2014-07-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400109
  • [Presentation] Irreducibility and co-primeness of terms in discrete equations with respect to initial variables,

    • Author(s)
      Tetsuji Tokihiro
    • Organizer
      Three days on Painleve equations and their applications
    • Place of Presentation
      Roma (Italy)
    • Year and Date
      2014-12-18 – 2014-12-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400109
  • 1.  SATSUMA Junkichi (70093242)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 2.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  OHTA Yasuhiro (10213745)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  SAKAI Hidetaka (50323465)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  NAKAMURA Yoshimasa (50172458)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  NISHINARI Katsuhiro (40272083)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  YANO Koichi (60114691)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  KIKUCHI Fumio (40013734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  上村 洸 (60011475)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  KOHNO Toshitake (80144111)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  TANAKA Hiroshi (10284019)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 2 results
  • 12.  UIROKKUSU Rarufu (20361610)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  KUNIBA Atsuo (70211886)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  上田 和夫 (70114395)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  阿部 龍蔵 (90012202)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  青木 秀夫 (50114351)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  堀川 穎二 (40011754)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  梶原 健司 (40268115)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  野海 正俊 (80164672)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  IZUMI Makoto (50263497)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  TAKENAWA Tomoyuki (70361805)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  INOUE Rei (30431901)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TAKAHASHI Daisuke (50188025)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  WATANABE Shinsuke (60017936)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  HIROTA Ryogo (00066599)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  YAMADA Michio (90166736)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  ORIHARA Akio (10012337)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  MIMURA Masayasu (50068128)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  HIKAMI Kazuo (60262151)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  TAKEBE Takashi (60240727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  IITAKA Toshiaki (60212700)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  ITOH Masakai (90184689)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  JIMOBO Michio (80109082)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  SHIRAISHI Jun-ichi (20272536)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  山口 豪 (50013537)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  金子 晃 (30011654)
    # of Collaborated Projects: 1 results
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  • 37.  永井 敦 (90304039)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  桂 利行 (40108444)
    # of Collaborated Projects: 1 results
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  • 39.  菅野 曉 (70013464)
    # of Collaborated Projects: 1 results
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  • 40.  加藤 晃史 (10211848)
    # of Collaborated Projects: 1 results
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  • 41.  山本 昌宏 (50182647)
    # of Collaborated Projects: 1 results
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  • 42.  北田 均 (40114459)
    # of Collaborated Projects: 1 results
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  • 43.  中島 匠一 (90172311)
    # of Collaborated Projects: 1 results
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  • 44.  木村 弘信 (40161575)
    # of Collaborated Projects: 1 results
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  • 45.  佐々木 多希子 (30780150)
    # of Collaborated Projects: 1 results
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  • 46.  高村 博之 (40241781)
    # of Collaborated Projects: 1 results
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  • 47.  間田 潤 (80396853)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 48.  KANKI Masataka
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 6 results
  • 49.  MASE Takafumi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 50.  KAMIYA Ryo
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 51.  TAKUBO Naoko
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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