Rchr
J-GLOBAL ID：201801008528861686
Update date: Aug. 04, 2024
Mikami Toshio
ミカミ トシオ | Mikami Toshio
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
https://sites.google.com/tsuda.ac.jp/toshio-mikami/
Research field (3)：
Basic analysis
, Mathematical analysis
, Applied mathematics and statistics
Research keywords (5)：
確率最適輸送問題
, 幾何学的測度論
, 数理物理
, Probability Theory
, nonlinear analysis
Research theme for competitive and other funds (29)：
- 2024 - 2028 確率最適輸送問題の基礎理論と未解決問題
- 2019 - 2024 確率最適輸送問題の新展開
- 2016 - 2020 New developments of the theory of viscosity solutions and its applications
- 2014 - 2019 A study of generalization of stochastic optimal transportation problems and mean field games
- 2014 - 2018 Geometry of solutions of partial differential equations and the inverse problems accompanied by it
- 2012 - 2016 Large deviation principle and multifractal analysis in dynamical systems
- 2011 - 2016 Deepening of the theory of viscosity solutions and its applications
- 2011 - 2016 Fundamental theory for viscosity solutions of fully nonlinear equations and its applications
- 2011 - 2013 stochastic optimal transportation problem and its application
- 2008 - 2012 Diffusion and Geometry of Domain
- 2009 - 2011 New development of infinite dimensional stochastic analysis and its applications
- 2008 - 2010 Viscosity solution theory for fully nonlinear equations and its applications
- 2007 - 2010 Stochastic least principle and its applications
- 2006 - 2009 RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
- 2006 - 2009 Dirichlet Forms and Stochastic Analysis of Symmetric Markov Processes
- 2004 - 2007 On the study of the theory of viscosity solutions and its new developments
- 2004 - 2006 Progress in new methods for prediction theory and Tauberian theorems with applications to stochastic analysis of processes with memory
- 2003 - 2006 Behavior of spatial critical points and level surfaces of solutions of partial differential equations and shapes of the solutions
- 2004 - 2005 物質の磨耗現象の数理
- 2003 - 2005 Research on the theory of viscosity solutions and its applications
- 2002 - 2003 Nonlinear elliptic and parabolic PDEs, theories and applications
- 2002 - 2003 Tauberian and Mercerian theorems and analysis of stochastic financial processes
- 2001 - 2002 Mass Transportation Problem for Stochastic Processes with a continuous parameter
- 2000 - 2001 Mercerian and Tauberian theorems with applications
- 1998 - 1999 Tauberian and Mercerian theorems for Fourier transforms with applications
- 1997 - 1999 Nonlinear partial differential equations and infinite dimensional dynamical systems
- 1996 - 1997 Mathematical Problems in Quantum Field Theory and Infinite-Dimensional Analysis
- 1992 - 1992 マルコフ過程論とその生物・物理モデルへの応用
- 1991 - 1991 大偏差定理と確率量子化
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Papers (43)：
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A remark on the Lagrangian formulation of optimal transport with a non-convex cost. Pure and Applied Functional Analysis. 2024. 9. 3. 811-824
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Toshio Mikami. Stochastic Optimal Transport with at Most Quadratic Growth Cost. Applied Mathematics and Optimization. 2024. 89. 3
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Jin Feng, Toshio Mikami, Johannes Zimmer. A Hamilton-Jacobi PDE Associated with Hydrodynamic Fluctuations from a Nonlinear Diffusion Equation. Communications in Mathematical Physics. 2021. 385. 1. 1-54
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Stochastic optimal transport revisited. 2021. 2. 5
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Toshio Mikami. Regularity of Schrödinger's functional equation in the weak topology and moment measures. J. Math. Soc. Japan. 2021. 73. 1. 99-123
ｍore...
MISC (16)：
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三上敏夫. 確率最適輸送問題入門. システム制御情報学会誌「システム/制御/情報」. 2020. 64. 7. 252-258
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三上敏夫. 確率最適輸送問題ー力学におけるE. Schrödinger の確率論的問題のある一般化ー. 日本数学会2017年度秋季総合分科会、総合講演・企画特別講演アブストラクト. 2017. 27-36
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Mikami Toshio. Stochastic optimal transportation problem and related topics (Progress in Variational Problems : Variational Problems Interacting with Probability Theories). RIMS Kokyuroku. 2013. 1837. 74-86
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HIGUCHI Isao, ITO Hiroyuki, MIKAMI Toshio. 7-321 Effects of Combined lectures and exercises in Advanced Mathematics Training Program : From Education GP Program for Developing Mathematical Ability in Engineering. Proceedings of Annual Conference of JSEE. 2011. 2011. 0. 610-611
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HIGUCHI Isao, ITO Hiroyuki, MIKAMI Toshio. 7-322 Practice and Evaluation of Problem Solving Exercise for Application of Engineering Mathematics : From Education GP Program for Developing Mathematical Ability in Engineering. Proceedings of Annual Conference of JSEE. 2011. 2011. 0. 612-613
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Books (1)：
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Stochastic Optimal Transportation: Stochastic Control with Fixed Marginals
2021
Lectures and oral presentations (61)：
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コスト関数がノルムの高々2次の増大度をもつ場合の確率最適輸送問題について
(大阪大学確率論セミナー 2023)
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Stochastic optimal transport with at most quadratic growth cost
(Stochastic Analysis 2023)
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Finiteness and short- and long- time asymptotics of stochastic optimal transport in the case where the cost function exhibits at most quadratic growth
(The eleventh meeting on Probability and PDE 2023)
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Finiteness of stochastic optimal transport
(NTU Mathematics Colloquium, Department of Mathematics, National Taiwan University, Taiwan 2023)
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Schrödinger’s and Nelson’s problems from the viewpoint of stochastic optimal transport: an introduction
(Web seminar, Department of Mathematics, Nanjing University 2023)
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Education (4)：
- 1986 - 1990 Osaka University Graduate School of Science
- 1988 - 1989 Brown University
- 1984 - 1986 Osaka University Graduate School of Science
- 1980 - 1984 Tokyo University of Science
Professional career (4)：
- 理学士 (東京理科大学)
- Master of Science (Osaka University)
- 博士(PhD) (ブラウン大学(アメリカ合衆国))
- PhD (Brown University (U.S.A.))
Work history (10)：
- 2014/04/01 - 現在 Tsuda University Faculty of Liberal Arts Department of Mathematics Professor
- 2010/04 - 2014/03 Hiroshima University
- 2007/04 - 2010/03 Hiroshima University
- 2006/04 - 2007/03 Hokkaido University
- 1995/04 - 2006/03 Hokkaido University
- 2005/09 - 2005/09 UC Berkeley
- 2003/09 - 2003/10 パリ第六大学 確率・ランダムモデル研究所 客員教授
- 1994/04 - 1995/03 Hokkaido University School of Science
- 1990/04 - 1994/03 Tokyo Institute of Technology Department of Mathematics, Faculty of Science Assistant
- 1989/09 - 1990/03 Brown University visiting assistant professor
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Committee career (10)：
- 2022/07 - 2023/06 日本学術振興会 特別研究員等審査会専門委員、卓越研究員候補者選考委員会書面審査員及び国際事業委員会書面審査員・書面評価員
- 2019/07 - 2021/06 日本学術振興会 特別研究員等審査会専門委員、卓越研究員候補者選考委員会書面審査員及び国際事業委員会書面審査員・書面評価員
- 2018/04 - 2019/03 Tokyo Journal of Mathematics 理事
- 2017/09/11 - 2017/09/14 日本数学会 企画特別講演
- 2015/03 - 2016/02 日本数学会 地方区代議員
- 2012/03 - 2014/02 日本数学会統計数学分科会 運営委員
- 2011/07 - 2013/06 日本学術振興会 科学研究費・基盤研究等第1段審査委員
- 2008/03 - 2010/02 日本数学会統計数学分科会 運営委員
- 2001/04/01 - 2006/12/31 Hokkaido Mathematical Journal Associate Editor
- 2005/03 - 2006/02 日本数学会統計数学分科会 運営委員
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Association Membership(s) (3)：
アメリカ応用数学会(SIAM)
, American Mathematical Society
, THE MATHEMATICAL SOCIETY OF JAPAN
