6 citations · 9 across the 7 of their papers we have counts for
7 papers
Stochastic optimal transport with at most quadratic growth cost
Toshio Mikami
We consider a class of stochastic optimal transport, SOT for short, with given two endpoint marginals in the case where a cost function exhibits at most quadratic growth. We first…
A remark on the Lagrangian formulation of optimal transport with a non-convex cost
Toshio Mikami, Haruka Yamamoto
We study the Lagrangian formulation of a class of the Monge-Kantorovich optimal transportation problem. It can be considered a stochastic optimal transportation problem for absolut…
Stochastic optimal transport revisited
Toshio Mikami
We prove the Duality Theorems for the stochastic optimal transportation problems with a convex cost function without a regularity assumption that is often supposed in the proof of…
A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation
Jin Feng, Toshio Mikami, Johannes Zimmer
We study a class of Hamilton-Jacobi partial differential equations in the space of probability measures. In the first part of this paper, we prove comparison principles (implying u…
Regularity of Schrödinger's functional equation in the weak topology and moment measures
Toshio Mikami
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 pro…
Regularity of Schroedinger's functional equation and mean field PDEs for h-path processes
Toshio Mikami
E. Schroedinger proposed the equation to find the statistical property of a quantum particle on a finite time interval. It is called "Schroedinger's functional equation". Given pro…
Maximums and minimums of overall survival functions with fixed marginal distributions and transmission of technology
Isao Higuchi, Toshio Mikami
Title: An unlikely result Authors: T.M. Other Comments: This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the fact that some of the results…