6 citations · 9 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…