Faculty Profiles - MIKAMI Toshio

Papers - MIKAMI Toshio

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A remark on the Lagrangian formulation of optimal transport with a non-convex cost Invited Reviewed

Pure and Applied Functional Analysis 9 ( 3 ) 811 - 824 2024.6

Stochastic Optimal Transport with at Most Quadratic Growth Cost Reviewed

Toshio Mikami

Applied Mathematics and Optimization 89 ( 3 ) 1 - 29 2024.5

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

Stochastic optimal transport revisited Invited Reviewed

Toshio Mikami

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

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

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

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Papers - MIKAMI Toshio