3 papers
math.PR2026
Quantitative Stability of Many-Marginal Schrodinger Bridge
Rentian Yao, Young-Heon Kim, Geoffrey Schiebinger
In this paper, we explore quantitative stability of multi-marginal Schrödinger bridges with respect to the marginal constraints. We focus on the case where the number of marginal…
math.AP2026
Uniqueness of the maximal solution of the supercooled Stefan problem in 1D
Kai Hong Chau, Young-Heon Kim, Mathav Murugan
We prove uniqueness of the maximal weak solutions to the supercooled Stefan problem in 1 dimension. This follows by showing that in 1 dimension, the optimal solution of the corresp…
math.AP2024
The Nonlocal Stefan Problem via a Martingale Transport
Raymond Chu, Inwon Kim, Young-Heon Kim +1
We study the nonlocal Stefan problem, where the phase transition is described by a nonlocal diffusion as well as the change of enthalpy functions. By using a stochastic optimizatio…