Stochastic dynamics has emerged as one of the key themes ranging from models in
applications to theoretical foundations in mathematics. One class of stochastic dynamics …

We study stochastic perturbations of ODEs with stable limit cycles—referred to as stochastic
oscillators—and investigate the response of the asymptotic (in time) frequency of oscillations …

We study transient patterns appearing in a class of SPDE using the framework of quasi-
stationary and quasi-ergodic measures. In particular, we prove the existence and …

Abstract (EN) This thesis represents a small contribution to our understanding of metastable
patterns in various stochastic models from physics and biology. By a\emph {metastable …