brenier potentials 1diPerna-Lions theory 1john domains 1log-concave densities 1mixing estimates 1optimal transport 1passive scalar transport 1regularity propagation 1sobolev vector fields 1stability analysis 1Wasserstein distance 1
From the 2 of 2 papers with an AI index.
2 papers
math.AP2026
Gluing methods for quantitative stability of optimal transport maps
Cyril Letrouit, Quentin Mérigot
The paper proves that the optimal quadratic transport map from a fixed density to a varying measure depends bi‑Hölder continuously on the target measure, establishing quantitative…
math.AP2026
A Unified Approach to Mixing and Regularity for Passive Scalar Transport by Sobolev Vector Fields
Lucas Huysmans, Ayman Rimah Said
The paper introduces a framework for quantitative estimates of passive scalar transport driven by Sobolev vector fields, providing new stability, mixing, regularity, and convergenc…