Updated on 2022/07/06

写真a

 
MIKAMI Toshio
 
Organization
College of Liberal Arts Department of Mathematics Professor
Title
Professor

Degree

  • PhD ( 1990.5   Brown University (U.S.A.) )

  • Master of Science ( 1986.3   Osaka University )

  • 理学士 ( 1984.3   東京理科大学 )

Research Interests

  • 変分解析

  • 幾何学的測度論

  • 確率最適輸送問題

  • Probability Theory

  • nonlinear analysis

  • marginal problem

Research Areas

  • Natural Science / Mathematical analysis

  • Natural Science / Applied mathematics and statistics

  • Natural Science / Basic analysis

Education

  • Brown University    

    1988.1 - 1989.9

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    Country: United States

  • Osaka University   大学院理学研究科   数学専攻博士前期課程

    1984.4 - 1986.3

  • Tokyo University of Science   理学部I部   数学科

    1980.4 - 1984.3

Research History

  • Tsuda University   Faculty of Liberal Arts Department of Mathematics   Professor

    2014.4

  • Hiroshima University   工学研究院電気電子システム数理部門   Professor

    2010.4 - 2014.3

  • Hiroshima University   工学研究科複雑システム工学専攻   Professor

    2007.4 - 2010.3

  • Hokkaido University   理学研究院数学部門   Associate Professor (as old post name)

    2006.4 - 2007.3

  • パリ第六大学   教授

    2003.9 - 2003.10

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    Country:France

  • Hokkaido University   理学研究科数学専攻   Associate Professor (as old post name)

    1995.4 - 2006.3

  • Hokkaido University   理学部数学科   Assistant Professor

    1994.4 - 1995.3

  • Tokyo Institute of Technology   理学部数学科   Research Assistant

    1990.4 - 1994.3

  • Brown University   Division of Applied Mathematics   Visiting assistant professor

    1989.9 - 1990.3

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    Country:United States

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Professional Memberships

  • American Mathematical Society

    2017.1

  • アメリカ応用数学会(SIAM)

    2011.1

  • 日本数学会

    1990.10

Committee Memberships

  • 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  

    2019.7 - 2021.6   

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    Committee type:Government

  • Tokyo Journal of Mathematics   理事  

    2018.4 - 2019.3   

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    Committee type:Other

  • 日本数学会   企画特別講演  

    2017.9   

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    Committee type:Academic society

  • 日本数学会   地方区代議員  

    2015.3 - 2016.2   

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    Committee type:Academic society

  • 日本数学会   統計数学分科会運営委員  

    2012.4 - 2014.3   

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    Committee type:Academic society

  • 日本学術振興会   科学研究費・基盤研究等第1段審査委員  

    2011.7 - 2013.6   

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    Committee type:Other

  • 日本数学会   統計数学分科会運営委員  

    2008.4 - 2010.3   

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    Committee type:Academic society

  • 日本数学会   統計数学分科会運営委員  

    2005.4 - 2006.3   

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    Committee type:Academic society

  • Hokkaido Mathematical Journal   Associate Editor  

    2001.4 - 2006.12   

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    Committee type:Other

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Studying abroad experiences

  • 1988.01 - 1989.09.01   ブラウン大学 大学院 応用数学科博士課程  

 

Papers

  • A Hamilton–Jacobi PDE Associated with Hydrodynamic Fluctuations from a Nonlinear Diffusion Equation Reviewed International coauthorship

    Jin Feng, Toshio Mikami, Johannes Zimmer

    Communications in Mathematical Physics   385 ( 1 )   1 - 54   2021.7

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Stochastic optimal transport revisited Invited Reviewed

    Toshio Mikami

    SN Partial Differ. Equ. Appl.   2 ( 1 )   5-1 - 5-26   2021.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s42985-020-00059-3

  • Regularity of Schrödinger's functional equation in the weak topology and moment measures Reviewed

    Toshio Mikami

    Journal of the Mathematical Society of Japan   73 ( 1 )   99 - 123   2021

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    Publishing type:Research paper (scientific journal)   Publisher:一般社団法人 日本数学会  

    <p>We study the continuity and the measurability of the solution to Schrödinger's functional equation, with respect to space, kernel and marginals, provided the space of all Borel probability measures is endowed with the weak topology. This is a continuation of our previous result where the space of all Borel probability measures was endowed with the strong topology. As an application, we construct a convex function of which the moment measure is a given probability measure, by the zero noise limit of a class of stochastic optimal transportation problems.</p>

    DOI: 10.2969/jmsj/81928192

  • Regularity of Schrödinger’s functional equation and mean field PDEs for h-path processes Reviewed

    Toshio Mikami

    Osaka J. Math.   56 ( 4 )   834 - 842   2019.10

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  • Two end points marginal problem by stochastic optimal transportation Reviewed

    Toshio Mikami

    SIAM J. Control Optim.   53 ( 4 )   2449 - 2461   2015.8

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  • An application of stochastic optimal transportation problem to two end points stochastic boundary value problem Invited

    OS15-01-02   2015.3

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    Authorship:Lead author   Language:Japanese   Publishing type:Research paper (international conference proceedings)  

    Other Link: https://www.jstage.jst.go.jp/article/japannctam/63/0/63_131/_pdf

  • A characterization of the Knothe-Rosenblatt processes by a convergence result Reviewed

    Toshio Mikami

    SIAM Journal on Control and Optimization   50 ( 4 )   1903 - 1920   2012.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Maxima and minima of overall survival functions with fixed marginal distributions and transmission of technology Reviewed

    Isao Higuchi,Toshio Mikami,

    Communications in Statistics - Theory and Methods   41 ( 1 )   46 - 61   2012.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Marginal problem for semimartingales via duality Invited Reviewed

    Toshio Mikami,

    International Conference for the 25th Anniversary of Viscosity Solutions(Gakuto International Series. Mathematical Sciences and Applications)   30   133 - 152   2008.12

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  • Optimal Transportation Problem by Stochastic Optimal Control Reviewed

    Toshio Mikami,Michele Thieullen

    SIAM Journal on Control and Optimization   47 ( 3 )   1127 - 1139   2008.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Duality theorem for stochastic optimal control problem Reviewed

    Toshio Mikami,Michele Thieullen

    Stochastic Processes and their Applications   116 ( 12 )   1815 - 1835   2006.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • A generalization of a curvature flow of graphs on R Invited

    Toshio Mikami

    Viscosity Solution Theory of Differential Equations and its Developments (Kyoto, 2005), 京都大学数理解析研究所講究録   1481   93 - 105   2006.4

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    Authorship:Lead author   Language:English   Publishing type:Research paper (international conference proceedings)  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1481-10.pdf

  • A simple proof of duality theorem for Monge-Kantorovich problem Reviewed

    Toshio Mikami,

    Kodai Mathematical Journal   29 ( 1 )   1 - 4   2006.3

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    Language:English   Publishing type:Research paper (bulletin of university, research institution)  

  • Semimartingales from the Fokker-Planck equation Reviewed

    Toshio Mikami,

    Applied Mathematics & Optimization   53 ( 2 )   209 - 219   2006.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Covariance kernel and the central limit theorem in the total variation distance Reviewed

    Toshio Mikami

    Journal of Multivariate Analysis   90 ( 2 )   257 - 268   2004.8

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Monge's problem with a quadratic cost by the zero-noise limit of h-path processes Reviewed

    Toshio Mikami

    Probability Theory and Related Fields   129 ( 2 )   245 - 260   2004.6

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Convexified Gauss Curvature flow of Sets: A Stochastic Approximation Reviewed

    Hitoshi Ishii,Toshio Mikami,

    SIAM Journal on Mathematical Analysis   36 ( 2 )   552 - 579   2004.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Motion of a graph by R-curvature. Reviewed

    Hitoshi Ishii,Toshio Mikami

    Archive for Rational Mechanics and Analysis   171 ( 1 )   1 - 23   2004.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • A level set approach to the wearing process of a nonconvex stone Reviewed

    Hitoshi Ishii,Toshio Mikami

    Calculus of Variations and Partial Differential Equations   19 ( 1 )   53 - 93   2003.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • A uniqueness result on Cauchy problem related to jump-type Markov processes with unbounded characteristics Reviewed

    Toshio Mikami

    Stochastic Analysis and Applications   20   389 - 413   2002.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • A two dimensional random crystalline algorithm for Gauss curvature flow Reviewed

    Hitoshi Ishii,Toshio Mikami

    Advances in Applied Probability   34   491 - 504   2002.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Optimal control for absolutely continuous stochastic processes and the mass transportation problem Reviewed

    Toshio Mikami

    Electronic Communications in Probability   7   199 - 213   2002.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Dynamical systems in the variational formulation of the Fokker-Planck equation by the Wasserstein metric Reviewed

    Toshio Mikami

    Applied Mathematics & Optimization   42   203 - 227   2000.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Markov marginal problems and their applications to Markov optimal control Invited Reviewed

    Toshio Mikami

    Stochastic Analysis, Control, Optimization and Applications, Birkhauser   457 - 476   1999.1

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  • Equivalent conditions on the central limit theorem for a sequence of probability measures on R Reviewed

    Toshio Mikami

    Statistics & Probability Letters   37 ( 3 )   237 - 242   1998.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Weak convergence on the first exit time of randomly perturbed dynamical systems with a repulsive equilibrium point Reviewed

    Toshio Mikami

    Journal of the Mathematical Society of Japan   50 ( 1 )   95 - 117   1998.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Large deviations and central limit theorems for Eyraud-Farlie-Gumbel-Morgenstern processes Reviewed

    Toshio Mikami

    Statistics & Probability Letters   35 ( 1 )   73 - 78   1997.8

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Poissonian asymptotics of a randomly perturbed dynamical system Reviewed

    Toshio Mikami,Hidemi M. Ito

    Journal of Statistical Physics   85   41 - 53   1996.10

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Copula fields and their applications Reviewed

    Toshio Mikami

    Proceedings of the Japan Academy, Ser. A Mathematical Sciences   71   221 - 224   1995.1

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  • Large deviations for the first exit time on small random perturbations of dynamical systems with a hyperbolic equilibrium point Reviewed

    Toshio Mikami

    Hokkaido Mathematical Journal   24 ( 3 )   491 - 525   1995.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Limit theorems on the exit problems for small random perturbations of dynamical systems I Reviewed

    Toshio Mikami

    Stochastics and Stochastics Reports   46   79 - 106   1994.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Limit theorems on the exit problems for small random perturbations of dynamical systems II Reviewed

    Toshio Mikami

    Kodai Mathematical Journal   17 ( 1 )   48 - 68   1994.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Local action functionals for randomly perturbed dynamical systems on long time intervals Reviewed

    Toshio Mikami

    Stochastic Analysis and Applications   11   275 - 308   1993.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Asymptotic behavior of invariant density of diffusion process with small fluctuation Invited Reviewed

    Toshio Mikami,

    Mathematics of Random Media. Proceedings, AMS-SIAM Summer Seminar 1989. Lectures in Applied Mathematics, AMS   27   193 - 200   1991.1

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    Authorship:Lead author   Language:English   Publishing type:Research paper (international conference proceedings)  

  • Large deviations theorems for empirical measures in Freidlin-Wentzell exit problems Reviewed

    Toshio Mikami

    Annals of Probability   19   58 - 82   1991.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Variational processes from the weak forward equation Reviewed

    Toshio Mikami

    Communications in Mathematical Physics   135   19 - 40   1990.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Small random perturbations of dynamical systems and Markov processes from marginal distributions Reviewed

    三上敏夫

    PhD Thesis, Brown University   1990.5

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    Language:English   Publishing type:Research paper (bulletin of university, research institution)  

  • Asymptotic analysis of invariant density of randomly perturbed dynamical systems Reviewed

    Toshio Mikami

    Annals of Probability   18   524 - 536   1990.1

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  • Some generalizations of Wentzell's lower estimates on large deviations Reviewed

    Toshio Mikami

    Stochastics   24   269 - 284   1988.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Asymptotic expansions of the invariant density of a Markov process with a small parameter Reviewed

    Toshio Mikami

    Annales de l’Institut Henri Poincaré Annales de l Institut Henri Poincaré Probabilités et Statistiques   24   403 - 424   1988.1

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Books

MISC

  • An Introduction to Stochastic Optimal Transportation Problem Reviewed

    Mikami Toshio

    SYSTEMS, CONTROL AND INFORMATION   64 ( 7 )   252 - 257   2020

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS  

    DOI: 10.11509/isciesci.64.7_252

  • 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

    三上敏夫

    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   27 - 36   2017.9

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (other)   Publisher:日本数学会  

  • Stochastic optimal transportation problem and related topics

    Toshio Mikami

    Progress in Variational Problems : Variational Problems Interacting with Probability Theories (Kyoto, 2012), 京都大学数理解析研究所講究録   1837   74 - 86   2013.6

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (international conference proceedings)   Publisher:京都大学  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1837-06.pdf

  • Variational characterization of the Knothe-Rosenblatt type rearrangements and its stochastic version

    Toshio Mikami

    Viscosity Solutions of Differential Equations and Related Topics (Kyoro 2009), 京都大学数理解析研究所講究録   1695   35 - 55   2010.7

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (international conference proceedings)   Publisher:京都大学  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1695-05.pdf

  • Optimal transportation problem as stochastic mechanics

    Toshio Mikami

    Selected Papers on Probability and Statistics   227   75 - 94   2009.1

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:American Mathematical Society  

  • 確率力学としての最適輸送問題

    三上 敏夫

    数学   58 ( 4 )   364 - 383   2006.1

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:日本数学会  

  • Duality in Stochastic Optimal Control and Applications

    Toshio Mikami, Michele Thieullen

    Viscosity Solution Theory of Differential Equations and its Developments (Kyoto, 2004), 京都大学数理解析研究所講究録   1428   106 - 119   2005.4

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (international conference proceedings)   Publisher:京都大学  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1428-11.pdf

  • Anisotropic convexified Gauss curvature flow of bounded open sets: stochastic approximation, weak solution and viscosity solution

    Toshio Mikami

    Viscosity solutions of differential equations and related topics (Kyoto, 2002), 京都大学数理解析研究所講究録   1323   1 - 12   2003.5

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (international conference proceedings)   Publisher:京都大学  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1323-1.pdf

  • Motion of a graph by R-curvature

    Toshio Mikami

    Viscosity solutions of differential equations and related topics (Kyoto, 2001), 京都大学数理解析研究所講究録   1287   90 - 98   2002.9

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (international conference proceedings)   Publisher:京都大学  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1287-9.pdf

  • Asymptotic behavior of the first exit times of randomly perturbed dynamical systems with unstable equilibrium points Reviewed

    Toshio Mikami

    Proc. of the second world congress of nonlinear analysts, Nonlinear Anal.   30 ( 7 )   4077 - 4088   1997.12

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:Elsevier  

  • 力学系の微小ランダム摂動論

    三上 敏夫

    数理科学1995 年2 月号   ( 380 )   29 - 35   1995.2

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)   Publisher:サイエンス社  

  • Some large deviations results in the exit problem for small random perturbations of dynamical systems

    Toshio Mikami

    Proceedings of the Fourth International Colloquium on Differential Equations   1   163 - 176   1994.4

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (international conference proceedings)   Publisher:V.S.P. Intl Science  

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Presentations

  • Schrödinger’s and Nelson’s problems, and stochastic optimal transport Invited International conference

    Toshio Mikami

    SchröMoka 2021 conference: Schrödinger's problem and Optimal Transport  2021.9.14 

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    Event date: 2021.9.14 - 2021.9.17

    Language:English   Presentation type:Oral presentation (keynote)  

    Venue:Universidade de Lisboa, Lisbon   Country:Portugal  

  • Regularity of Schrödinger's functional equation Invited International conference

    Toshio Mikami

    Equadiff 2019 

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    Event date: 2019.7.8 - 2019.7.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Leiden University, Leiden , Netherlands   Country:Netherlands  

  • Regularity of Schrödinger's functional equation Invited International conference

    Toshio Mikami

    New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry 

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    Event date: 2019.7.1 - 2019.7.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Fudan Univeristy, Shanghai, China   Country:China  

  • 企画特別講演「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」 Invited

    三上敏夫

    日本数学会2017年度秋季総合分科会  2017.9.11  日本数学会

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    Event date: 2017.9.11 - 2017.9.14

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:山形大学  

  • Measurability of Schrodinger's functional equation and the mean field PDEs Invited International conference

    Toshio Mikami

    2017 IMS-China International Conference on Statistics and Probability  Institute of Mathematical Statistics

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    Event date: 2017.6.28 - 2017.7.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Nanning, Guangxi Province, China   Country:China  

  • Stochastic optimal transportation and marginal problem for stochastic processes Invited International conference

    Toshio Mikami

    Dynamical Optimization in PDE and Geometry: Applications to Hamilton-Jacobi, Ergodic Optimization, Weak KAM 

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    Event date: 2011.12.12 - 2011.12.21

    Presentation type:Oral presentation (invited, special)  

    Venue:ボルドー第一大学、フランス   Country:France  

  • Marginal problem for semimartingales via duality Invited International conference

    Toshio Mikami

    International Conference for the 25th Anniversary of Viscosity Solution 

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    Event date: 2007.6.4 - 2007.6.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:東京大学   Country:Japan  

  • Stochastic control with fixed marginals Invited International coauthorship International conference

    Toshio Mikami

    Italian-Japanese Meeting Equazioni alle derivate parziali non lineari e Applicazioni (Nonlinear Partial Differential Equations and Applications)  イタリア数学会

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    Event date: 2006.6.19 - 2006.6.25

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:トスカーナ、イタリア   Country:Italy  

  • Monge's problem with a quadratic cost by the zero-noise limit of h-pass processes Invited International conference

    Toshio Mikami

    Nonlinear PDE meeting 

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    Event date: 2003.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:早稲田大学   Country:Japan  

  • Motion of a graph by R-curvature Invited

    石井仁司, 三上敏夫 

    微分方程式の総合的研究  日本数学会関数方程式分科会

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    Event date: 2001.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:東京大学  

  • Asymptotic behavior of invariant density of diffusion process with small fluctuation Invited International conference

    Toshio Mikami

    1989 AMS-SIAM Summer Seminar on Mathematics of Random Media  AMS-SIAM

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    Event date: 1989.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Virginia Tech.,USA   Country:United States  

  • Superposition principle による確率最適輸送問題の最近の進展 Invited

    三上敏夫

    東京確率論セミナー  2021.7.12 

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    Event date: 2021.7.12

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:zoom  

  • Regularity of Schrödinger's functional equation in the weak topology and its applications International conference

    三上敏夫

    The tenth meeting on Probability and PDE 

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    Event date: 2018.7.19 - 2018.7.20

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:津田塾大学  

  • シュレディンガーの問題に関する平均場マスター方程式について Invited

    三上敏夫

    ディリクレ形式と対称マルコフ過程 

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    Event date: 2017.11.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:東北大学川井ホール  

  • Regularity of Schrodinger's functional equation Invited International conference

    Toshio Mikami

    Colloquia and Seminars, Institute of Applied Math, Academy of Mathematics and System Science, Chinese Academy of Science   Institute of Applied Math, Academy of Mathematics and System Science, Chinese Academy of Science

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    Event date: 2017.6.27

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Beijing, China  

  • 確率最適輸送問題について Invited

    三上敏夫

    東京理科大学理工学部数学教室談話会  東京理科大学理工学部数学教室

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    Event date: 2016.11.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:東京理科大学理工学部数学教室  

  • A survey of stochastic optimal transportation problem Invited International conference

    Toshio Mikami

    Geometry of solutions of PDE's and its related inverse problems 

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    Event date: 2016.10.5 - 2016.10.7

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Tohoku University   Country:Japan  

  • Stochastic optimal transportation problem and its related topics

    Toshio Mikami

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    Event date: 2016.2.22 - 2016.2.23

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

  • A remark on the asymptotic bahaviors of empirical distribution function Invited

    Misato Akiyoshi, Toshio Mikami

    マルコフ過程とその周辺 

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    Event date: 2016.1.9 - 2016.1.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:ヴェルク横須賀  

  • Two end points boundary value problems on stochastic optimal transportation and Fokker-Planck equation International conference

    Toshio Mikami

    SIAM Conference on Control and Its Applications  SIAM

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    Event date: 2015.7.8 - 2015.7.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Maison de la Mutualit_, Paris, France   Country:France  

  • Reachability of the Fokker-Planck Equation Invited

    三上敏夫

    第 12 回浜松偏微分方程式 研究集会 

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    Event date: 2014.12.23 - 2014.12.24

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:静岡大学浜松キャンパス  

  • 双対定理による確率最適輸送問題の周辺分布問題への応用

    三上敏夫

    THE NINTH MEETING ON PROBABILITY AND PDE 

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    Event date: 2014.11.13 - 2014.11.14

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:津田塾大学  

  • An application of stochastic optimal transportation problem to two end points stochastic boundary value problem Invited

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    Event date: 2014.9.26 - 2014.9.28

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

  • Convexified Gauss curvature flow of sets Invited International conference

    Hitoshi Ishii, Toshio Mikami

    Colloquia and Seminars, Institute of Applied Math, Chinese Academy of Science  Institute of Applied Math, Chinese Academy of Science, Beijing, China

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    Event date: 2014.6.27

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Institute of Applied Math, Chinese Academy of Science, Beijing, China  

  • Stochastic optimal transportation and related topics Invited International conference

    Toshio Mikami

    変分問題の展開-確率論と交錯する変分問題 

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    Event date: 2012.6.11 - 2012.6.13

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学数理解析研究所  

  • Stochastic optimal transportation and marginal problem for stochastic processes Invited International conference

    Toshio Mikami

    Probability and Geometry 

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    Event date: 2011.9.15 - 2011.9.17

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:熊本大学   Country:Japan  

  • The Knothe-Rosenblatt processes by the singular limit of a class of stochastic controls International conference

    Toshio Mikami

    Viscosity methods and nonlinear PDE 

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    Event date: 2010.7.21 - 2010.7.23

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:北海道大学   Country:Japan  

  • Variational characterization of the Knothe-Rosenblatt type rearrangements. Invited International conference

    Toshio Mikami

    Viscosity Solutions of Differential Equations and Related Topics 

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    Event date: 2009.6.24 - 2009.6.26

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • Semimartingales from the Fokker-Planck equation International conference

    Toshio Mikami

    Probability and PDE 

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    Event date: 2005.8.29 - 2005.9.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:北海道大学  

  • A generalization of the curvature flow of graphs on the real line Invited International conference

    Toshio Mikami

    Viscosity Solution Theory of Differential Equations and its Developments 

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    Event date: 2005.6.29 - 2005.7.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • Duality Theorem for Stochastic Optimal Control Problem International coauthorship International conference

    Toshio Mikami

    h-path processes and related topics 

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    Event date: 2004.7

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:北海道大学   Country:Japan  

  • Convexified Gauss Curvature Flows of Graphs and Hypersurfaces: Stochastic Approximation and PDE Invited International conference

    Hitoshi Ishii, Toshio Mikami

    Joint Symposium on Fundamental Sciences between Hokkaido University (HU) and Budapest University of Technology and Economics (BUTE)  北海道大学理学研究科

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    Event date: 2003.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:北海道大学   Country:Japan  

  • Wearing process of a stone by an anisotropic Gauss curvature Invited International conference

    Hitoshi Ishii, Toshio Mikami

    Viscosity solution of PDE and related topics 

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    Event date: 2002.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • Motion of a graph by R-curvature Invited International conference

    Hitoshi Ishii, Toshio Mikami

    PDE of viscosity solution and related topics 

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    Event date: 2001.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • Stochastic control, mass transformation and Salisbury’s problem

    三上敏夫

    Probability and PDE 

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    Event date: 2000.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:北海道大学   Country:Japan  

  • Random perturbations of dynamical systems and variational problems for the Fokker-Planck equation Invited International conference

    Toshio Mikami

    Nonlinear PDE meeting 

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    Event date: 2000.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  • A two dimensional random crystalline algorithm for Gauss curvature flow Invited International conference

    HItoshi Ishii, Toshio Mikami

    Nonlinear PDE meeting 

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    Event date: 1999.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  • Markov marginal problems and Markov optimal control: nonlinear PDE aspect Invited International conference

    Toshio Mikami

    Nonlinear PDE meeting 

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    Event date: 1998.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  • Asymptotic behavior of the first exit times of randomly perturbed dynamical systems with unstable equilibrium points Invited International conference

    Toshio Mikami

    The second world congress of nonlinear analysts 

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    Event date: 1996.7

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Athene, Greece   Country:Greece  

  • Reversal of the magnetic field of the earth and the exit problem Invited

    三上敏夫

    Stochastic Study in Mathematical Physics and Mathematical biology 

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    Event date: 1995.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:登別温泉  

  • Asymptotic behavior of the first exit time of randomly perturbed dynamical systems with a hyperbolic equilibrium point International conference

    Toshio Mikami

    The seventh Japan-Russia symposium on probabilty and statistics 

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    Event date: 1995.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Uniqueness of solutions to a class of integro-differential equations and the problem of the super large deviations for the jump-type Markov processes

    三上敏夫

    Stochastic processes and related topics 

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    Event date: 1994.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学  

  • An introduction to copula fields and its applications to one-dimensional stochastic quantizations Invited International conference

    Toshio Mikami

    Stochastic Analysis in Mathematical Physics and Mathematical biology 

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    Event date: 1994.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  • Exit problem for the small random perturbations of dimensional dynamical systems with a hyperbolic equilibrium point Invited

    三上敏夫

    Stochastic analysis on manifold and large deviations 

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    Event date: 1993.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:岐阜大学  

  • Some large deviations results in the exit problem for small random perturbations of dynamical systems. Invited International conference

    Toshio Mikami

    Fourth International Colloquium on Differential Equation 

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    Event date: 1993.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Plovdiv, Bulgaria   Country:Bulgaria  

  • Large deviations theorems for empirical measures in Freidlin-Wentzell exit problems Invited

    三上敏夫

    Stochastic optimal control and related problems 

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    Event date: 1991.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:名古屋大学  

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Research Projects

  • 確率最適輸送問題の新展開 International coauthorship

    Grant number:19K03548  2019.04 - 2024.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(C)

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    Authorship:Principal investigator  Grant type:Competitive

  • New developments of the theory of viscosity solutions and its applications

    Grant number:16H03948  2016.04 - 2020.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    石井 仁司、儀我 美一, 三上 敏夫, 小池 茂昭, 三竹 大寿, 小林 和夫

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • A study of generalization of stochastic optimal transportation problems and mean field games

    Grant number:26400136  2014.04 - 2019.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(C)

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    Authorship:Principal investigator  Grant type:Competitive

  • Geometry of solutions of partial differential equations and the inverse problems accompanied by it

    Grant number:26287020  2014.04 - 2018.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    SAKAGUCHI SHIGERU, ISHIGE Kazuhiro, MIKAMI Toshio, MISAWA Masashi, CAVALLINA Lorenzo

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • Fundamental theory for viscosity solutions of fully nonlinear equations and its applications

    Grant number:23340028  2011.04 - 2016.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    小池 茂昭、小川 卓克, 石井 克幸, 石井 仁司, 長井 英生, 三上 敏夫, 石毛 和弘, 岡部 真也

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • Deepening of the theory of viscosity solutions and its applications

    Grant number:23244015  2011.04 - 2016.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(A)

    ISHII Hitoshi, OTANI Mitsuharu, NAGAI Hideo, GIGA Yoshikazu, KOIKE Shigeaki, MIKAMI Toshio, MITAKE Hiroyoshi, YAMADA Naoki, ISHII Katsuyuki, ICHIHARA Naoyuki, FUJITA Yasuhiro

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • stochastic optimal transportation problem and its application

    Grant number:23540205  2011 - 2013

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(C)

    MIKAMI toshio, ICHIHARA Naoyuki, KAISE Hidehiro, HIGUCHI Isao

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    Authorship:Principal investigator  Grant type:Competitive

  • Diffusion and Geometry of Domain

    Grant number:20340031  2008 - 2012

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    SAKAGUCHI Shigeru, MISAWA Masashi, MIKAMI Toshio, SHIBATA Tetsutaro, KANON Yukio, KAWAKAMI Tatsuki, ISHIGE Kazuhiro, OGAWA Takayoshi

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • Viscosity solution theory for fully nonlinear equations and its applications

    Grant number:20340026  2008 - 2010

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    KOIKE Shigeaki, ISHII Hitoshi, MIKAMI Toshio, ISHII Katsuyuki, NAGAI Hideo, MORIMOTO Hiroaki

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • Stochastic least principle and its applications

    Grant number:19540157  2007 - 2010

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(C)

    MIKAMI Toshio, TAKEDA Masayoshi, KOIKE Shigeaki, KAISE Hidehiro

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    Authorship:Principal investigator  Grant type:Competitive

  • RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

    Grant number:18204009  2006 - 2009

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(A)

    ISHII Hitoshi, KOBAYASI Kazuo, OTANI Mitsuharu, GIGA Yoshikazu, NAGI Hideo, KOIKE Shigeaki, MIKAMI Toshio, YAMADA Naoki, GOTO Syun'ichi, ISHII Katsuyuki, FUJITA Yasuhiro, OHNUMA Masaki

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • On the study of the theory of viscosity solutions and its new developments

    Grant number:16340032  2004 - 2007

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    KOIKE Shigeaki, MORIMOTO Hiroaki, ISHII Hitoshi, NAGAI Hideo, MIKAMI Toshio, ISHII Katsuynki

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • 物質の磨耗現象の数理

    Grant number:16654031  2004 - 2005

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Exploratory Research

    三上 敏夫、利根川 吉廣, 行木 孝夫

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    Authorship:Principal investigator  Grant type:Competitive

  • 偏微分方程式の解の空間臨界点および等位面の挙動と解の形状

    Grant number:15340047  2003.04 - 2006.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    坂口 茂、三上 敏夫, 橋本 貴宏

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • Research on the theory of viscosity solutions and its applications

    Grant number:15340051  2003 - 2005

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    ISHII Hitoshi, GIGA Yoshikazu, KOIKE Shigeaki, NAGAI Hideo, ISHII Katusyuki, MIKAMI Toshio

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  • 連続パラメタを持つ確率過程に対する質量輸送問題

    Grant number:13640096  2001.04 - 2002.03

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(C)

    三上敏夫、行木 孝夫, 松本 健司, 井上 昭彦

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    Authorship:Principal investigator  Grant type:Competitive

  • 大偏差定理と確率量子化

    Grant number:03740105  1991

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Encouragement of Young Scientists (A)

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    Authorship:Principal investigator  Grant type:Competitive

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Other research activities

  • 書評 熊谷 隆 著『確率論』

    2003.11

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    数学セミナー2003年11月号 p. 83(日本評論社)

Travelling overseas in which it aimed at research activities

  • 2019 FY, ,Less than a month

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  • 2015 FY, USA ,Less than a month

  • 2015 FY, France ,Less than a month

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  • 1989 FY, ,More than a month

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Foreigner researcher's receipt results

  • 2019 FY, ,Less than a month

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  • 2017 FY, ,Less than a month

  • 2016 FY, ,Less than a month

  • 2015 FY, USA ,Less than a month

  • 2012 FY, ,More than a month

  • 2011 FY, ,Less than a month

  • 2011 FY, ,Less than a month

  • 2010 FY, ,Less than a month

  • 2008 FY, ,Less than a month

  • 2007 FY, ,Less than a month

  • 2005 FY, ,Less than a month

  • 2004 FY, ,More than a month

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