We present a general framework to study the metastability of random perturbations of dynamical systems. It integrates techniques from the theory of Markov processes, in particular the resolvent approach to metastability, with the spectral analysis of transfer operators associated to the dynamics. Joint with Diego Marcondes.

Sandro Vaienti is an emeritus professor in mathematics at the university of Toulon in France, and he is researcher at the Center of Theoretical Physics in Marseille. He has now a one year contract at the Great Bay University in Dongguan. His domain of research is the dynamical systems with a particular emphasis on the statistical properties.