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math.PR2026
A Stochastic Flow for the Stochastic Allen-Cahn Equation with Multiplicative Noise
Salvador Esquivel, Hendrik Weber
We establish the existence of a stochastic flow on for the stochastic Allen-Cahn equation with multiplicative noise \[ (\partial_t - \partial_x^2) u = u -…
math.PR2025
Scaling limit of a weakly asymmetric simple exclusion process in the framework of regularity structures
Ruojun Huang, Konstantin Matetski, Hendrik Weber
We prove that a parabolically rescaled and suitably renormalised height function of a weakly asymmetric simple exclusion process on a circle converges to the Cole-Hopf solution of…
math.PR2025
Holley--Stroock uniqueness method for the dynamics
Roland Bauerschmidt, Benoit Dagallier, Hendrik Weber
The approach initiated by Holley--Stroock establishes the uniqueness of invariant measures of Glauber dynamics of lattice spin systems from a uniform log-Sobolev inequality. We use…