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Mase Takahumi  間瀬 崇史

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Mase Takafumi  間瀬 崇史

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Researcher Number 80780105
Other IDs
Affiliation (Current) 2025: 東京大学, 大学院数理科学研究科, 助教
Affiliation (based on the past Project Information) *help 2020 – 2024: 東京大学, 大学院数理科学研究科, 助教
2016 – 2019: 東京大学, 大学院数理科学研究科, 特任助教
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / Basic Section 12020:Mathematical analysis-related / Basic analysis
Keywords
Principal Investigator
可積分性判定 / 代数的エントロピー / 離散可積分系 / 可積分系 / 特異点閉じ込め / 格子方程式 / 次数増大 / Laurent現象 / 応用数学
  • Research Projects

    (4 results)
  • Research Products

    (26 results)
  • Co-Researchers

    (6 People)
  •  Algebraic entropy calculation of lattice equations via Laurentification: a cluster algebraic approachPrincipal Investigator

    • Principal Investigator
      間瀬 崇史
    • Project Period (FY)
      2024 – 2026
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  特異点の手法による差分方程式の可積分性判定Principal Investigator

    • Principal Investigator
      間瀬 崇史
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  Algebraic methods for determining integrability of discrete equationsPrincipal Investigator

    • Principal Investigator
      MASE Takafumi
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  Detecting integrability of discrete equations on multi-dimensional latticesPrincipal Investigator

    • Principal Investigator
      Mase Takafumi
    • Project Period (FY)
      2016 – 2017
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo

All 2023 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

  • [Journal Article] Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice2021

    • Author(s)
      Kamiya R.、Kanki M.、Mase T.、Tokihiro T.
    • Journal Title

      Journal of Mathematical Physics

      Volume: 62 Issue: 10 Pages: 102701-102701

    • DOI

      10.1063/5.0034581

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Journal Article] Coordination sequences of crystals are of quasi-polynomial type2021

    • Author(s)
      Nakamura Yusuke、Sakamoto Ryotaro、Mase Takafumi、Nakagawa Junichi
    • Journal Title

      Acta Crystallographica Section A Foundations and Advances

      Volume: 77 Issue: 2 Pages: 138-148

    • DOI

      10.1107/s2053273320016769

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13384, KAKENHI-PROJECT-18K13438
  • [Journal Article] Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type2020

    • Author(s)
      R. Kamiya, M. Kanki, T.Mase, T. Tokihiro
    • Journal Title

      数理解析研究所講究録別冊

      Volume: B78 Pages: 121-153

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Journal Article] Algebraic entropy computations for lattice equations: why initial value problems do matter2019

    • Author(s)
      J. Hietarinta, T. Mase and R. Willox
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 52 Issue: 49 Pages: 49LT01-49LT01

    • DOI

      10.1088/1751-8121/ab5238

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03355, KAKENHI-PROJECT-18K13438
  • [Journal Article] Singularity confinement as an integrability criterion2019

    • Author(s)
      Mase Takafumi、Willox Ralph、Ramani Alfred、Grammaticos Basil
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 52 Issue: 20 Pages: 205201-205201

    • DOI

      10.1088/1751-8121/ab1433

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03355, KAKENHI-PROJECT-18K13438
  • [Journal Article] 多次元格子上の擬似可積分系2018

    • Author(s)
      神吉雅崇、時弘哲治、間瀬崇史
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2071 Pages: 43-64

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Journal Article] Toda type equations over multi-dimensional lattices2018

    • Author(s)
      Kamiya Ryo、Kanki Masataka、Mase Takafumi、Okubo Naoto、Tokihiro Tetsuji
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 51 Issue: 36 Pages: 364002-364002

    • DOI

      10.1088/1751-8121/aad375

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14211, KAKENHI-PROJECT-18K13438
  • [Journal Article] Studies on spaces of initial conditions for non-autonomous mappings of the plane2018

    • Author(s)
      Mase Takafumi
    • Journal Title

      Journal of Integrable Systems

      Volume: 3 Issue: 1

    • DOI

      10.1093/integr/xyy010

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [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] Calculating the algebraic entropy of mappings with unconfined singularities2018

    • Author(s)
      Ramani A、Grammaticos B、Willox R、Mase T、Satsuma J
    • Journal Title

      Journal of Integrable Systems

      Volume: 3 Issue: 1

    • DOI

      10.1093/integr/xyy006

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13438, KAKENHI-PROJECT-16K05048
  • [Journal Article] Integrable mappings and the notion of anticonfinement2018

    • Author(s)
      Mase T、Willox R、Ramani A、Grammaticos B
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 51 Issue: 26 Pages: 265201-265201

    • DOI

      10.1088/1751-8121/aac578

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Journal Article] Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation?investigation into their extended Laurent properties2018

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

      Journal of Physics A: Mathematical and Theoretical

      Volume: 51 Issue: 35 Pages: 355202-355202

    • DOI

      10.1088/1751-8121/aad074

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14211, KAKENHI-PROJECT-18K13438
  • [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] Calculating algebraic entropies: an express method2017

    • Author(s)
      A. Ramani, B. Grammaticos, R. Willox and T. Mase
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 50 Issue: 18 Pages: 185203-185203

    • DOI

      10.1088/1751-8121/aa66d7

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04893, KAKENHI-PROJECT-16H06711
  • [Journal Article] Full-deautonomisation of a lattice equation2016

    • Author(s)
      R. Willox, T. Mase, A. Ramani and B. Grammaticos
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 49 Issue: 28 Pages: 28LT01-28LT01

    • DOI

      10.1088/1751-8113/49/28/28lt01

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06711, KAKENHI-PROJECT-15K04893
  • [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
  • [Presentation] Degree growth calculations for lattice equations2023

    • Author(s)
      T. Mase
    • Organizer
      International Conference on Symmetry and Integrability in Difference Equations
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12996
  • [Presentation] The Laurent property, irreducibility and coprimeness of non-integrable partial difference equations2023

    • Author(s)
      T. Mase
    • Organizer
      Pure maths colloquium talks
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Presentation] Integrability tests for lattice equations - or why initial value problems do matter2019

    • Author(s)
      T. Mase
    • Organizer
      Integrable Systems 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Presentation] Dynamical degrees and singularity patterns2018

    • Author(s)
      T. Mase, R. Willox, A. Ramani, B. Grammaticos
    • Organizer
      International Conference on Symmetry and Integrability in Difference Equations
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13438
  • [Presentation] 非自励2階差分方程式の初期値空間2017

    • Author(s)
      間瀬崇史
    • Organizer
      アクセサリー・パラメーター研究会2017
    • Place of Presentation
      熊本大学理学部 (熊本県熊本市)
    • Data Source
      KAKENHI-PROJECT-16H06711
  • [Presentation] Spaces of initial conditions for nonautonomous mappings of the plane2017

    • Author(s)
      T. Mase
    • Organizer
      The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
    • Place of Presentation
      Athens (アメリカ、ジョージア州)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06711
  • [Presentation] 特異点閉じ込めと代数的エントロピー I2017

    • Author(s)
      間瀬崇史, R. Willox, A. Ramani, B. Grammaticos
    • Organizer
      非線形波動研究の新潮流 -理論とその応用-
    • Data Source
      KAKENHI-PROJECT-16H06711
  • [Presentation] Spaces of initial conditions for nonautonomous mappings of the plane2016

    • Author(s)
      T. Mase
    • Organizer
      Workshop on Discrete Painleve equations
    • Place of Presentation
      東京大学数理科学研究科 (東京都目黒区)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06711
  • [Presentation] 多次元格子上の擬似可積分系2016

    • Author(s)
      間瀬崇史
    • Organizer
      可積分系数理の現状と展望
    • Place of Presentation
      京都大学数理解析研究所 (京都府京都市)
    • Data Source
      KAKENHI-PROJECT-16H06711
  • 1.  KIM WOOKYUNG
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  KANKI Masataka
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 6 results
  • 3.  KAMIYA Ryo
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 4.  WILLOX Ralph
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 3 results
  • 5.  時弘 哲治
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 6.  中村 勇哉
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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