We prove exponential convergence to the invariant measure, in the total variation norm, for
solutions of SDEs driven by α-stable noises in finite and in infinite dimensions. Two …

We study the ergodicity of the stochastic real Ginzburg–Landau equation driven by additive
α-stable noises, showing that as α∈(3/2, 2), this stochastic system admits a unique invariant …

We show how gradient estimates for transition semigroups can be used to establish
exponential mixing for a class of Markov processes in infinite dimensions. We concentrate …

We start by considering finite dimensional Markovian dynamics in R m generated by
operators of hypocoercive type and for such models we obtain short and long time pointwise …

We study the ergodicity of stochastic reaction–diffusion equation driven by subordinate
Brownian motion. After establishing the strong Feller property and irreducibility of the …

The current paper is devoted to the ergodicity of stochastic Magneto-Hydrodynamic
equations driven by α-stable noise with α∈(3 2, 2). By the maximal inequality for the …

Existence and Exponential mixing of infinite white α-stable Systems with unbounded
interactions Page 1 E lectron i c J o u r nal o f P r o ba bility Vol.15 (2010), Paper no. 65, pages …

We modify the coupling method established in Shirikyan (Exponential mixing for randomly
forced partial differential equations: method of coupling, Springer, New York, 2008) and …

Analogously to the well-known Langevin Monte Carlo method, in this article we provide a
method to sample from a target distribution π by simulating a solution of a stochastic …

The current paper is devoted to stochastic Ginzburg–Landau–Newell equation with
degenerate random forcing. The existence and pathwise uniqueness of strong solutions with …