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SASAKI Yoshikatsu

    General Education Division　Associate Professor
Last Updated :2024/04/25

Researcher Information

Degree

  • Ph.D. (Mathematical Sciences)（2003/03 The University of Tokyo）
  • M.S. (Mathematical Sciences)（1999/03 The University of Tokyo）
  • M.A. (Literature)（2023/03 Bukkyo University）

URL

J-Global ID

Research Interests

  • Painleve transcendents   Integrable system   Value distribution theory   Mathematics Education   

Research Areas

  • Natural sciences / Mathematical analysis

Academic & Professional Experience

  • 2017/04 - Today  Kindai UniversityCenter for the Advancement of Hgiher EducationAssociate Professor
  • 2016/04 - 2017/03  Kurume Institute of TechnologyDepartment of Education and Creation EngineeringProfessor
  • 2009/04 - 2016/03  Hiroshima UniversityDepartment of Mathematics, Graduate School of ScienceAssistant Professor
  • 2008/04 - 2009/03  Tsuruoka National College of TechnologyDepartment of General ScienceLecturer
  • 2007/04 - 2008/03  The University of TokyoGraduate School of Mathematical ScienceResearch Fellow
  • 2005/01 - 2007/03  Kyushu UniversityGraduate School of MathematicsResearch Assistant Professor
  • 2003/09 - 2005/01  The University of TokyoGraduate School of Mathematical ScienceCOE Researcher
  • 2003/04 - 2003/08  The University of TokyoGraduate School of Mathematical ScienceResearch Fellow

Education

  • 2019/04 - 2023/03  Bukkyo University  Graduate School of Literature  Buddhist Studies Program
  • 2017/04 - 2019/03  Bukkyo University  School of Buddhism  Department of Buddhist Studies
  • 1999/04 - 2003/03  The University of Tokyo  Graduate School of Mathematical Science  Department of Mathematical Science, Doctor Course
  • 1997/04 - 1999/03  The University of Tokyo  Graduate School of Mathematical Science  Department of Mathematical Science, Master Course
  • 1993/04 - 1997/03  The University of Tokyo  College of Arts and Sciences  Department of Natural Sciences I
  • 1992/04 - 1993/03  Waseda University  First Department of Literature

Association Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN   JAPANESE ASSOCIATION OF INDIAN AND BUDDHIST STUDIES   

Published Papers

  • Efforts aimed at "learning open to the outside of campus" in teacher training courses
    Annual report of the teacher training course, Faculty of Engineering, Kindai University 5 3 - 8 2019/02
  • Yoshikatsu Sasaki; C.Kamesawa
    Bulletin of Kurume Institute of Technology 久留米工業大学研究報告編集委員会 39 (39) 55 - 62 0389-6897 2017/03 [Refereed]
  • Y.Nakashima; Yoshikatsu Sasaki
    Bulletin of Kurume Institute of Technology 久留米工業大学研究報告編集委員会 39 (39) 63 - 71 0389-6897 2017/03 [Refereed]
  • Yoshikatsu Sasaki; Masafumi Yoshino
    MATHEMATISCHE ZEITSCHRIFT SPRINGER HEIDELBERG 284 (3-4) 1005 - 1020 0025-5874 2016/12 [Refereed]
     
    We give a Hamiltonian system which is nonintegrable in a domain containing two singular points and that is integrable in some neighborhood of a singular point. The system is an arbitrarily small nontrivial perturbation of an integrable Hamiltonian system given by confluence of regular singular points of a generalized hypergeometric system.
  • Weierstrass' elliptic function solutions to the autonomous limit of the string equation
    Yoshikatsu Sasaki
    J. Appl. Math. Phys. 4 (4) 857 - 862 2016/04 [Refereed]
  • The best constant of discrete Sobolev inequality on a weighted truncated tetrahedron
    Yoshikatsu Sasaki
    World J. Engi. Tech. 3 (3C) 149 - 154 2015/10 [Refereed]
  • Yoshikatsu Sasaki
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES JAPAN ACAD 91 (1) 7 - 8 0386-2194 2015/01 [Refereed]
     
    This article concerns with the first Painleve hierarchy, i.e. the 2n-th order analogues of the first Painleve equation. Several higher order analogues of the first Painleve equation are proposed by several authors however, we investigate one derived from the KdV hierarchy by studying singularity manifold. We give the auxiliary differential polynomials of the first Painleve hierarchy.
  • Degeneration of the superintegrable system with potentials described by the sixth Painlevé transcendents
    Yoshikatsu Sasaki
    J. Appl. Math. Phys. 2 (11) 996 - 999 2014/10 [Refereed]
  • Weierstrass' elliptic function solution to the autonomous limit of the string equation of type (2,5)
    Yoshikatsu Sasaki
    Adv. Pure Math. 4 (8) 494 - 497 2014/08 [Refereed]
  • Yoshikatsu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS AMER INST PHYSICS 54 (7) 073510-1 - 073510-13 0022-2488 2013/07 [Refereed]
     
    This article concerns with the second Painleve hierarchy, i.e., the 2nth order analogues of the second Painleve equation. Though several higher order analogues of the second Painleve equation are proposed by several authors, we investigate one derived from the KdV hierarchy by similarity reduction, and give the lower estimate of the growth order of transcendental meromorphic solutions to the second Painleve hierarchy with an integer parameter. Moreover, the first lemma in Appendix supplements an incompleteness of Li and He ["On analytic properties of higher analogs of the second Painleve equation," J. Math. Phys. 43, 1106-1115 (2002)] and Li ["Some properties of the solutions of higher analogue of the Painleve equation," ActaMath. Appl. Sin. 22, 59-64 (2006)]. (C) 2013 AIP Publishing LLC.
  • Yoshikatsu Sasaki
    PAINLEVE EQUATIONS AND RELATED TOPICS (2012) WALTER DE GRUYTER & CO 137 - 150 2012 
    This article concerns the isomonodromic deformations of three linear ordinary differential equations which governed the sixth Painleve equation. We show that there exists a 2-dimensional system of LODEs s.t. (i) by eliminating an entry, the system reduces to one of the 3 LODEs; (ii) the IMD of the system is equivalent to the IMD of one of the 3 LODEs with a certain condition; (iii) the system is obtained from a linearization of the sixth Painleve equation by use of a gauge transformation.
  • Gauge transformation of the sixth Painlevé equation
    Yoshikatsu Sasaki
    Painlevé Equations and Related Topics, Proceedings of the International Conference, Euler International Mathematical Institute Saint Petersburg, June 17-23, 2011 132 - 134 2011/06
  • Yoshikatsu Sasaki
    RIMS Kôkyûroku Bessatsu Kyoto University B10 191 - 203 1881-6193 2008/11 [Refereed]
  • Yoshikatsu Sasaki
    Research reports of Tsuruoka National College of Technology 鶴岡工業高等専門学校 43 (43) 61 - 64 0286-1232 2008 [Refereed]
  • Yoshikatsu Sasaki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ACADEMIC PRESS INC ELSEVIER SCIENCE 330 (2) 817 - 828 0022-247X 2007/06 [Refereed]
     
    This article is concerned with a value distribution of the fifth Painleve transcendents in sectorial domains around a fixed singular point. We show that the cardinality of the 1-points of a fifth Painleve transcendent in a sector has an asymptotic growth of finite order, thereby giving an improvement of the known estimates. (c) 2006 Elsevier Inc. All rights reserved.
  • Yoshikatsu Sasaki
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES JAPAN ACAD 83 (6) 79 - 82 0386-2194 2007/06 [Refereed]
     
    This article concerns the value distribution of the third Painleve transcendents in sectorial domains around fixed singular points. We show that the cardinality of the zeros of a third Painleve transcendent in a sector has an asymptotic growth of finite order, thereby giving an improvement of the known estimation.
  • Construction of the auxiliary functions for the value distribution of the fifth Painlevé transcendents in sectorial domains
    Yoshikatsu Sasaki
    RIMS Kôkyûroku Bessatsu B2 209 - 214 2007/03 [Refereed]
  • On value distribution of Painlevé transcendents
    Yoshikatsu Sasaki
    RIMS Kôkyûroku 1367 15 - 28 2004/04
  • Function theoretical study on the Painleve transcendents and a certain generalization
    Yoshikatsu Sasaki
    The University of Tokyo 2003/03 [Refereed]
  • Yoshikatsu Sasaki
    J. Math. Sci. Univ. Tokyo The University of Tokyo 9 (4) 669 - 687 1340-5705 2002 [Refereed]
  • Yoshikatsu Sasaki
    Rokko Lectures in Mathematics 神戸大学理学部数学科 7 153 - 171 2000/03
  • On a Hamiltonian dynamical system on an elliptic curve
    Yoshikatsu Sasaki
    RIMS Kôkyûroku 1133 43 - 52 2000/02
  • On a Hamiltonian dynamical system on an elliptic curve
    Yoshikatsu Sasaki
    The University of Tokyo 1999/03 [Refereed]

Books etc

Conference Activities & Talks

  • Weierstrass' elliptic function solutions to the autonomous limit of the string equation  [Not invited]
    Yoshikatsu Sasaki
    2016 Spring World Congress on Engineering and Technology  2016/04
  • The best constant of discrete Sobolev inequality on a weighted truncated tetrahedron  [Not invited]
    Yoshikatsu Sasaki
    The 5th World Congress on Engineering and Technology  2015/10
  • Weierstrass' elliptic function solutions to the autonomous limit of the string equation  [Not invited]
    Yoshikatsu Sasaki
    MSJ Autumn Meeting 2015  2015/09
  • Nonintegrability of Hamiltonian system perturbed from integrable system with two singular points  [Not invited]
    Yoshikatsu Sasaki; M.Yoshino
    MSJ Spring Meeting 2015  2015/03
  • On the redundant and excited Painlevé systems  [Invited]
    Yoshikatsu Sasaki
    Differential Equation Seminar in Umeda, Osaka  2015/02
  • Degeneration of the superintegrable system with potentials described by the sixth Painlevé transcendents  [Not invited]
    Yoshikatsu Sasaki
    The 4th World Congress on Engineering and Technology  2014/10
  • Third-degree superintegrable system solved by the sixth Painlevé transcendents  [Not invited]
    Yoshikatsu Sasaki
    MSJ Autumn Meeting 2012  2012/09
  • Lower estimates of the second Painlevé hierarchy derived from the KdV hierarchy  [Invited]
    Yoshikatsu Sasaki
    Joint Meeting on Conformal Mappings and Value Distribution Theory  2011/12

Research Grants & Projects

  • Gauge transformation of the Painlevé equations
    日本学術振興会研究者海外派遣基金助成金「組織的な若手研究者海外派遣プログラム」：理工農系：サステナブル社会の実現に貢献する自然科学系国際的若手研究者の育成プログラム
    Date (from‐to) : 2011/12 -2012/06 
    Author : Yoshikatsu Sasaki
  • Gauge transformation of the Painlevé equations
    Hiroshima University：広島大学萌芽的研究支援金
    Date (from‐to) : 2010/10 -2011/03 
    Author : Yoshikatsu Sasaki
  • 楕円曲線上フックス型・合流型微分方程式のモノドロミー保存変形が従うハミルトン系
    文部省科学研究費補助金：特別研究員奨励費
    Date (from‐to) : 2000/01 -2002/03 
    Author : 佐々木 良勝

Teaching Experience

  • Differential EquationDifferential Equation Kindai University, Faculty of Engineering
  • Algebra I,IIAlgebra I,II Kindai University, Faculty of Engineering
  • Method of Teaching Mathematics IIIA,IIIBMethod of Teaching Mathematics IIIA,IIIB Kindai University, Faculty of Engineering
  • Linear AlgebraLinear Algebra Kindai University, Faculty of Engineering
  • Probability and StatisticsProbability and Statistics Kindai University, Faculty of Engineering
  • Geometry IGeometry I Kindai University, Faculty of Engineering
  • CalculusCalculus Kurume Institute of Technology
  • Exercise of Analysis I,II,III,IV,B, etc.Exercise of Analysis I,II,III,IV,B, etc. HIroshima University, Department of Mathematics
  • Mathematics I,II,IIIMathematics I,II,III National Institute of Technology (KOSEN),Tsuruoka College

Social Contribution

  • 学費支援・手紙のやりとり
    Date (from-to) : 2005/04-2023/08/31
    Role : Organizing member
    Category : Others
    Sponser, Organizer, Publisher  : パレスチナの子供の里親運動
    Event, Program, Title : 里親
  • 多面体の数理と折り紙
    Date (from-to) : 2016/11/18
    Role : Lecturer
    Category : Visiting lecture
    Sponser, Organizer, Publisher  : 高等教育コンソーシアム久留米
    Event, Program, Title : 4大学・高専共同講義
  • 自閉症児の下校付き添い
    Date (from-to) : 2007/04-2007/07
    Role : Organizing member
    Category : Others
    Sponser, Organizer, Publisher  : 目黒区社会福祉協議会
    Event, Program, Title : ボランティア

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