Lyapunov exponents and synchronisation by noise for systems of SPDEs

Autor:	Gess, B., Tsatsoulis, P.
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs Mathematics - Dynamical Systems 60H15 37H15 37L30 35K57
Druh dokumentu:	Working Paper
Popis:	Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate minima. The proof relies on an asymptotic expansion of the invariant measure, with careful control on the resulting error terms. As a consequence of these estimates, synchronisation by noise is deduced for systems of stochastic reaction-diffusion equations for the first time.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.09820 Zobrazit plný text záznamu View this record from Arxiv