2 papers
math.PR2026
Krylov-Veretennikov decomposition for measure-valued processes induced by SDEs with interaction on Riemannian manifolds
Andrey Dorogovtsev, Alexander WeiÃ
We introduce a framework for stochastic differential equations (SDEs) with interaction on compact, connected, -dimensional manifolds. For SDEs whose drift and diffusion coeffici…
math.PR2026
Strong Feller Regularisation of 1-d Nonlinear Transport by Reflected Ornstein-Uhlenbeck Noise
Max-K. von Renesse, Feng-Yu Wang, Alexander WeiÃ
We consider equations of nonlinear transport on the circle with regular self interactions appearing in aggregation models and deterministic mean field dynamics. We introduce a rand…