Synchronisation by noise for the stochastic quantisation equation in dimensions $2$ and $3$
Probability
2019-10-18 v1
Abstract
We prove uniform synchronisation by noise with rates for the stochastic quantisation equation in dimensions two and three. The proof relies on a combination of coming down from infinity estimates and the framework of order-preserving Markov semigroups derived in [Butkovsky, Scheutzow; 2019]. In particular, it is shown that this framework can be applied to the case of state spaces given in terms of H\"older spaces of negative exponent.
Cite
@article{arxiv.1910.07769,
title = {Synchronisation by noise for the stochastic quantisation equation in dimensions $2$ and $3$},
author = {Benjamin Gess and Pavlos Tsatsoulis},
journal= {arXiv preprint arXiv:1910.07769},
year = {2019}
}
Comments
13 pages