2 papers
math.PR2025
Fractional Sobolev processes on Wasserstein spaces and their energy-minimizing particle representations with applications
Ehsan Abedi
Given a probability-measure-valued process , we aim to find, among all path-continuous stochastic processes whose one-dimensional time marginals coincide almost surely with…
math.MG2025
Fractional Sobolev paths on Wasserstein spaces and their energy-minimizing particle representations
Ehsan Abedi
We study a generalization of the Monge--Kantorovich optimal transport problem. Given a prescribed family of time-dependent probability measures , we aim to find, among all p…