2 papers
math.PR2025
Stochastic optimal transport for the Langevin dynamics and its zero--mass limit
Toshio Mikami
We introduce a stochastic optimal transport for the Langevin dynamics with positive mass and study its zero--mass limit. The new aspect of this paper is that we only fix the initia…
math.PR2025
A system of Schrödinger's problems and functional equations
Toshio Mikami, Jin Feng
We propose and study a system of Schrödinger's problems and functional equations in probability theory. More precisely, we consider a system of variational problems of relative ent…