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

津田塾大学   大学運営会議委員  

2019.4 - 2020.3   

津田塾大学   大学院理学研究科委員長  

2018.4 - 2020.3   

Tokyo Journal of Mathematics   理事  

2018.4 - 2019.3   

日本数学会   企画特別講演  

2017.9   

日本数学会   地方区代議員  

2015.3 - 2016.2   

日本数学会   統計数学分科会運営委員  

2012.4 - 2014.3   

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   

日本数学会   統計数学分科会運営委員  

2008.4 - 2010.3   

日本数学会   統計数学分科会運営委員  

2005.4 - 2006.3   

Hokkaido Mathematical Journal   Associate Editor  

2001.4 - 2006.12   

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

Two end points marginal problem by stochastic optimal transportation Reviewed

Toshio Mikami

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

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

OS15-01-02   2015.3

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

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

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

Optimal Transportation Problem by Stochastic Optimal Control Reviewed

Toshio Mikami,Michele Thieullen

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

Duality theorem for stochastic optimal control problem Reviewed

Toshio Mikami,Michele Thieullen

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

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

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

Toshio Mikami,

Kodai Mathematical Journal   29 ( 1 )   1 - 4   2006.3

Semimartingales from the Fokker-Planck equation Reviewed

Toshio Mikami,

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

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

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

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

Motion of a graph by R-curvature. Reviewed

Hitoshi Ishii,Toshio Mikami

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

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

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

A two dimensional random crystalline algorithm for Gauss curvature flow Reviewed

Hitoshi Ishii,Toshio Mikami

Advances in Applied Probability   34   491 - 504   2002.1

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

Toshio Mikami

Electronic Communications in Probability   7   199 - 213   2002.1

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

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

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

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

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

Toshio Mikami

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

Poissonian asymptotics of a randomly perturbed dynamical system Reviewed

Toshio Mikami,Hidemi M. Ito

Journal of Statistical Physics   85   41 - 53   1996.10

Copula fields and their applications Reviewed

Toshio Mikami

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

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

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

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

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

Toshio Mikami

Stochastic Analysis and Applications   11   275 - 308   1993.1

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

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

Toshio Mikami

Annals of Probability   19   58 - 82   1991.1

Variational processes from the weak forward equation Reviewed

Toshio Mikami

Communications in Mathematical Physics   135   19 - 40   1990.12

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

三上敏夫

PhD Thesis, Brown University   1990.5

Asymptotic analysis of invariant density of randomly perturbed dynamical systems Reviewed

Toshio Mikami

Annals of Probability   18   524 - 536   1990.1

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

Toshio Mikami

Stochastics   24   269 - 284   1988.1

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

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

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

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

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

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

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

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

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

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 

Marginal problem for semimartingales via duality Invited International conference

Toshio Mikami

International Conference for the 25th Anniversary of Viscosity Solution 

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

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

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

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 Invited

三上敏夫

大阪大学確率論セミナー  2023.11.21  大阪大学

コスト関数が高々ノルムの２乗の増大度をもつ場合の確率最適輸送問題の有限性と短・長時間漸近挙動について

三上敏夫

The eleventh meeting on Probability and PDE  2023.8.29  三上敏夫

Finiteness of stochastic optimal transport Invited International conference

Toshio Mikami

NTU Mathematics Colloquium, Department of Mathematics, National Taiwan University, Taiwan  2023.5.17  Department of Mathematics, National Taiwan University, Taiwan

Schrödinger’s and Nelson’s problems from the viewpoint of stochastic optimal transport: an introduction Invited International conference

Toshio Mikami

Web seminar, Department of Mathematics, Nanjing University  2023.1.9 

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 

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 

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 

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

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

A survey of stochastic optimal transportation problem Invited International conference

Toshio Mikami

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

Stochastic optimal transportation problem and its related topics

Toshio Mikami

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 

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

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 

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 

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

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

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 

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

Toshio Mikami

Probability and Geometry 

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

Toshio Mikami

Viscosity methods and nonlinear PDE 

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

Toshio Mikami

Viscosity Solutions of Differential Equations and Related Topics 

Semimartingales from the Fokker-Planck equation International conference

Toshio Mikami

Probability and PDE 

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 

Duality Theorem for Stochastic Optimal Control Problem International coauthorship International conference

Toshio Mikami

h-path processes and related topics 

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

Toshio Mikami

Nonlinear PDE meeting 

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

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

Hitoshi Ishii, Toshio Mikami

Viscosity solution of PDE and related topics 

Motion of a graph by R-curvature Invited International conference

Hitoshi Ishii, Toshio Mikami

PDE of viscosity solution and related topics 

Stochastic control, mass transformation and Salisbury’s problem

三上敏夫

Probability and PDE 

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

Toshio Mikami

Nonlinear PDE meeting 

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

HItoshi Ishii, Toshio Mikami

Nonlinear PDE meeting 

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

Toshio Mikami

Nonlinear PDE meeting 

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 

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 

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 

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 

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 

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 

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 

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

三上敏夫

Stochastic optimal control and related problems 

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

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

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

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

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

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

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

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

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

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

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

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

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)

2015 FY, USA ,Less than a month

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広島応用解析セミナー(第9回)

Role(s)：Planning, management, etc.

坂口 茂, 三上 敏夫(広島大学工学研究科)  2008.9.1