TOKIHIRO Tetsuji 時弘哲治

Researcher Number	10163966
External Links
Affiliation *help	2016 – 2018 : 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 1999 – 2005 : Graduate School of Mathematical Sciences, The University of Tokyo, Professor, 大学院・数理科学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Global analysis / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic Section 12020:Mathematical analysis-related / Engineering fundamentals / General mathematics (including Probability theory/Statistical mathematics) / 固体物性I(光物性・半導体・誘電体) Except Principal Investigator Global analysis / Engineering fundamentals / 物性一般(含基礎論) / General mathematics (including Probability theory/Statistical mathematics) / 解析学
Keywords	Principal Investigator セルオートマトン / 箱玉系 / 超離散系 / 可積分系 / 離散可積分系 / 超離散化 / 可解格子模型 / ソリトン / トロピカル / 有限体 … 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 / 戸田方程式 / 超離散 / 対称性 / 超離散化 / Soliton / 自己相似 / ガルニエ系 / ペンローズ格子 / 電子構造 / コンダクタンスゆらぎ / パンルベ方程式 / 局在状態 / Integrable System / 準結晶 / 離散力学系 / フラクタル / Hypergeometric functions / system theory / KP方程式 / Special functions / システム理論 / aperiodic system / 線型偏微分方程式系 / Complete Integrability / ordered N / Painleve Equations / recursive polynomials / 変形理論 / cellular automaton / Integrable system / 繰り込み群 / Symmetry / フィボナッチ格子 / QR method / 数値解析 / Garnier systems / 弾性体の大変形 / Ultradiscrete System / モノドロミ- / Difference Equation / 不規則系 / integrability / 超離散系 / Difference Equations / 特異性閉じ込め / Deformation theory / Painleve Equation / 特異性の閉じ込め / error estimation / 離散ソリトン / Toda equation / first principles calculation / 9-差分系 / ボルテラ系 / Extensible String / inverse scattering / Discrete Soliton / Birational canonical / 差分系 / オーダーN法 / 完全積分可能系 / Painleve equations / 梯子構造 / QR法 / Volterra system / Monodromy / 直交多項式展開法 / 双有理正準変換 / 量子拡散 / Singularity Confinement / 数列の加速 / 加速法 / 逆散乱法 / 多変数特殊関数 / ホロノミック / 誤差評価 / Green function / 非線型可積分系 / グリーン関数 / 数列加速 / 第一原理計算 / Ultra-discretization / 多変数特殊函数 / soliton / ソーティング / 直交多項式展開 / 超幾何函数 / ソリトン方程式 / 完全積分可能性 Less

Studies on discrete quasi-integrable systemsPrincipal InvestigatorOngoing
- Principal Investigator
  
  時弘哲治
- 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
離散可積分系から導かれるセルオートマトン系の研究Principal InvestigatorOngoing
- Principal Investigator
  
  時弘哲治
- 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

[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] 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
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume : 51 Pages : 125203-125203
- DOI
  10.1088/1751-8121/aaad47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400109, KAKENHI-PROJECT-17K14211, KAKENHI-PROJECT-16H06711
[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 Pages : 012702-012702
- DOI
  10.1063/1.4973744
- Peer Reviewed / Acknowledgement Compliant
- 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
  
  Nonlinear Theory and Its Applications, IEICE
  
  Volume : Vol. 7 Pages : 338-353
- DOI
  10.1587/nolta.7.338
- 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
  
  J. Phys. A: Math. Theor.
  
  Volume : 49
- 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] Integrability criterion in terms of coprime property for the discrete Toda equation2015
- Author(s)
  M. Kanki, J. Mada, T. Tokihiro
- Journal Title
  
  J. Math. Phys
  
  Volume : 56 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] Algebraic entropy of an extended Hietarinta-Viallet equation2015
- Author(s)
  Masataka Kanki, Takafumi Mase and Tetsuji Tokihiro
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume : 48 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] 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
- 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 equations and the Laurent property2014
- Author(s)
  KANKI, Masataka
- Journal Title
  
  J. Phys. A: Math. Theor.
  
  Volume : 47 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] A Chemical Probe that Labels Human Pluripotent Stem Cells.2014
- Author(s)
  Hirata, N., Nakagawa, M., Fujibayashi, Y., Yamauchi, K., Murata, A., Minami, I., Tomioka, M., Kondo, T., Kuo, T-F.,Endo, H., Inoue, H., Sato, Ando, S., Kawazoe, Y.,Aiba, K., Nagata, K., Kawase, E., Chang, Y-T., Suemori., H., Eto, K., Nakauchi, H., Yamanaka, S., Nakatsuji, N., Ueda, K., Uesugi, M.
- Journal Title
  
  Chemical Engineering Science
  
  Volume : 6（6） Issue : 1 Pages : 1165-1174
- Publisher
  Elsevier
- DOI
  10.1016/j.bbr.2011.03.031
- ISSN
  00820784
- Language
  English
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PLANNED-22110007, KAKENHI-PROJECT-23560931, KAKENHI-PROJECT-23580103, KAKENHI-PROJECT-24500110, KAKENHI-PROJECT-24530559, KAKENHI-PROJECT-24591495, KAKENHI-PROJECT-24651150, KAKENHI-PROJECT-25292008, KAKENHI-PROJECT-25380839, KAKENHI-PROJECT-25400176, KAKENHI-PROJECT-12J05718, KAKENHI-PROJECT-22245022, KAKENHI-PROJECT-22246087, KAKENHI-PROJECT-22654014, KAKENHI-PROJECT-22720291, KAKENHI-PROJECT-22770022, KAKENHI-PROJECT-22780107, KAKENHI-PROJECT-23300106, KAKENHI-PROJECT-23560510, KAKENHI-PROJECT-23612009, KAKENHI-PROJECT-23656204, KAKENHI-PROJECT-23730216, KAKENHI-PUBLICLY-24115507, KAKENHI-PROJECT-24300106, KAKENHI-PROJECT-24340016, KAKENHI-PROJECT-24790157, KAKENHI-PROJECT-24790639, KAKENHI-PLANNED-25118004, KAKENHI-PROJECT-25282240, KAKENHI-PROJECT-25290038, KAKENHI-PROJECT-09F09246, KAKENHI-PROJECT-11J02212, KAKENHI-PROJECT-11J04684, KAKENHI-PROJECT-21570148, KAKENHI-PROJECT-21592355, KAKENHI-PLANNED-22108004, KAKENHI-PROJECT-22380050, KAKENHI-PROJECT-22689009, KAKENHI-PROJECT-22740244, KAKENHI-PROJECT-22760536, KAKENHI-PROJECT-23224006, KAKENHI-PROJECT-23370030, KAKENHI-PROJECT-23570239, KAKENHI-PROJECT-23590548, KAKENHI-PROJECT-23656382, KAKENHI-PROJECT-23657018, KAKENHI-PROJECT-23659104, KAKENHI-PROJECT-23740180, KAKENHI-PROJECT-23740269, KAKENHI-PROJECT-23750090, KAKENHI-PROJECT-24310029, KAKENHI-PROJECT-24340031, KAKENHI-PROJECT-24370060, KAKENHI-PROJECT-24380055, KAKENHI-PROJECT-24510271, KAKENHI-PROJECT-24591615, KAKENHI-PROJECT-24750169, KAKENHI-PROJECT-10J05104, KAKENHI-PLANNED-20119007, KAKENHI-PROJECT-20670001, KAKENHI-PROJECT-21390188, KAKENHI-PROJECT-21390272, KAKENHI-PROJECT-21590059, KAKENHI-PROJECT-21591164, KAKENHI-PROJECT-21770101, KAKENHI-PLANNED-22111005, KAKENHI-PROJECT-22300135, KAKENHI-PROJECT-22340154, KAKENHI-PROJECT-22659340, KAKENHI-PROJECT-22700177, KAKENHI-PROJECT-22791769, KAKENHI-PROJECT-22791848, KAKENHI-PROJECT-22840014, KAKENHI-PLANNED-23111003, KAKENHI-PROJECT-23249082, KAKENHI-PROJECT-23310011, KAKENHI-PROJECT-23390226, KAKENHI-PROJECT-23530224, KAKENHI-PROJECT-23550001, KAKENHI-PROJECT-23650480, KAKENHI-PROJECT-23651130, KAKENHI-PROJECT-23790379, KAKENHI-PROJECT-23790454, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-21591147
[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
  
  JNMP 20
  
  Volume : 20 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 Painleve II equation over finite fields2013
- Author(s)
  KANKI, Masataka
- Journal Title
  
  J. Phys. A : Math. Theor
  
  Volume : 45 Pages : 342001-342001
- DOI
  10.1088/1751-8113/45/34/342001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
[Journal Article] Direct ultradiscretization of Ai and Bi functions and special solutions to Paineleve II equation2012
- Author(s)
  S. Isojima, J. Satsuma and T. Tokihiro
- Journal Title
  
  J.Phys.A : Math.Theor.
  
  Volume : 45 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] 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] Path-preference cellular-automaton model for traffic flow through transit points and its application to the transcription process in human cells.2012
- Author(s)
  Yoshihiro Ohta, Akinobu Nishiyama, Yoichiro Wada, Yijun Ruan, Tatsuhiko Kodama, Takashi Tsuboi, Tetsuji Tokihiro and Sigeo Ihara
- Journal Title
  
  Phys Rev E Stat Nonlin Soft Matter Phys
  
  Volume : 86 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] Soliton Solutions of a Generalized Discrete KdV Equation2012
- Author(s)
  KANKI, Masataka
- Journal Title
  
  J. Phys. Soc. Jpn
  
  Volume : 81 Pages : 1-5
- DOI
  10.1143/jpsj.81.084002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-12J01379, KAKENHI-PROJECT-21340034, KAKENHI-PROJECT-23740126
[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
- DOI
  10.1143/jpsj.80.054003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340034
[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
- DOI
  10.1088/1751-8113/44/14/145202
- 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 Pages : 209-220
- DOI
  10.3934/dcds.2011.31.209
- 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] Correlation functions for a periodic box-ball system2010
- Author(s)
  J. Mada and T. Tokihiro
- Journal Title
  
  J. Phys. A : Math. Theor
  
  Volume : 43
- DOI
  10.1088/1751-8113/43/13/135205
- 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 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 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(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
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- 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
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- Data Source
  KAKENHI-PROJECT-14340053
[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
- Int'l Joint Research / Invited
- 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 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] 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] 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] 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)
  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 cinference of ICM 2010, Integrable Systems and Geometry
- Place of Presentation
  Pondicherry University, India
- Data Source
  KAKENHI-PROJECT-21340034
[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] 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] 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] 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] 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] 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] 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] 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

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TOKIHIRO Tetsuji 時弘 哲治

Research Projects

Research Products

Co-Researchers

Studies on discrete quasi-integrable systemsPrincipal InvestigatorOngoing

Principal Investigator

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Review Section

Research Institution

離散可積分系から導かれるセルオートマトン系の研究Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on the integrable structure of ultradiscrete systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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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

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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

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Mathematics on discrete and ultradiscrete integrable systems and its applicationPrincipal Investigator

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超離散パンルヴェ系の研究Principal Investigator

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生体システムの超離散解析Principal Investigator

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Mathematics in ultradiscrete integrable systemsPrincipal Investigator

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TOKIHIRO Tetsuji 時弘哲治