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math.PR2022
Brownian particle in the curl of 2-d stochastic heat equations
Guilherme L. Feltes, Hendrik Weber
We study the long time behaviour of a Brownian particle evolving in a dynamic random environment. Recently, [G. Cannizzaro, L. Haunschmid-Sibitz, F. Toninelli, preprint arXiv:2106.…
math.PR2020★ 4 cited
Phase transitions for
Ajay Chandra, Trishen S. Gunaratnam, Hendrik Weber
We establish a surface order large deviation estimate for the magnetisation of low temperature . As a byproduct, we obtain a decay of spectral gap for its Glauber dynamics g…
math.PR2018
Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise
Pavlos Tsatsoulis, Hendrik Weber
We prove an asymptotic coupling theorem for the -dimensional Allen--Cahn equation perturbed by a small space-time white noise. We show that with overwhelming probability two pro…