This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

Entropy inequalities, correlation functions, couplings between stochastic processes are
powerful techniques which have been extensively used to give arigorous foundation to the …

This paper is concerned with the large deviation principle of the stochastic reaction-diffusion
lattice systems defined on the N-dimensional integer set, where the nonlinear drift term is …

We consider a class of Glauber dynamics for the two-dimensional nearest neighbor
ferromagnetic Ising model in which the rate with which each spin flips depends only on the …

We prove a large deviation principle (LDP) for a general class of Banach space valued
stochastic differential equations (SDEs) that is uniform with respect to initial conditions in …

We prove a Kramers-type law for metastable transition times for a class of one-dimensional
parabolic stochastic partial differential equations (SPDEs) with bistable potential. The …

This paper is concerned with the large deviation principle of the non-local fractional
stochastic reaction-diffusion equation with a polynomial drift of arbitrary degree driven by …

We investigate thermally activated phenomena in micromagnetics using large deviation
theory and concepts from stochastic resonance. We give a natural mathematical definition of …

Dynamical systems perturbed by small random noise have received a vast attention over the
last decades in many areas of science extending from physics through chemistry and …

We study spectral Galerkin approximations of an Allen–Cahn equation over the two-
dimensional torus perturbed by weak space-time white noise of strength ε. We introduce a …