Séminaire OrléansMetastability in Markovian systems via quasi-stationary measures and capacities
Alessandra Bianchi (Padova)
Thursday 24 January 2013 14:00 - Orléans - Salle de Séminaire
In this talk I will present some recent results, obtained in collaboration with A. Gaudilliere, concerning the characterization of metastability in the sense of Lebowitz and Penrose for Markov processes on finite configuration space and in some asymptotic regime. By comparison between the restricted ensemble and the quasi-stationary measure we will derive simple and practical hypotheses to establish metastability. In particular, by means of potential theoretic tools, we will provide sharp estimates on mean exit time and transition time, and prove their asymptotic exponential laws. Some examples and applications of the method will be finally discussed.