Ergodicity for the stochastic Complex Ginzburg-Landau equations
Cyril Odasso
Abstract
We study a stochastic complex Ginzburg--Landau (CGL) equation driven by a smooth noise in space and we establish exponential convergence of the Markovian transition semi-group toward a unique invariant probability measure. Since Doob Theorem does not seem not to be useful in our situation, a coupling method is used. In order to make this method easier to understand, we first focus on two simple examples which contain most of the arguments and the essential difficulties.
Create a lesson
Related papers
Mean convergence for Banach space-valued random elements indexed in measure spaces
Nguyen Thi Kim Sang, Nguyen Tran Thuan
Extinction and extinguishment properties for a nonlinear predator-prey branching model
Lina Ji, Jie Xiong, Wen Xu et al.
Multihomogeneous Measures and Stochastic Polar Representations
Enkelejd Hashorva
Cramér transform, half-space depth and threshold phenomena for convex bodies
Minas Pafis
Equilibrium fluctuations of the weakly asymmetric inclusion process
Simon Gabriel
Counterexamples to the site-percolation analogues of the Easo-Severo-Tassion cutset theorems
Joel Bassil