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A priori bounds for stochastic porous media equations via regularity structures
Markus Tempelmayr, Hendrik Weber
We prove a priori bounds for solutions of singular stochastic porous media equations with multiplicative noise in their natural -based regularity class. We consider the first…
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…
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…
Stochastic quantization of - theory in 2-d Moyal space
Chunqiu Song, Hendrik Weber, Raimar Wulkenhaar
There is strong evidence for the conjecture that the QFT- model on 4-dimensional non-commutative Moyal space can be non-perturbatively constructed. As preparation, in this p…