MARTEDI' 27 SETTEMBRE 2011

SEMINARI DI PROBABILITA' 10:30-11:15, Aula seminari del Dipartimento di Matematica Applicata "U. Dini" Large deviation principle of the empirical current for Markov processes Lorenzo Bertini (Roma La Sapienza)

Abstract: We consider a continuous time Markov chain on a countable state space and extend the classical Donsker-Varadhan large deviation principle for the empirical measure by considering also the empirical flow. We then discuss the application to the Gallavotti-Cohen functional, whose associated large deviation principle can be obtained by projection. We finally illustrate briefly the analogous results for diffusion processes on R^n.

MARTEDI' 27 SETTEMBRE 2011

SEMINARI DI PROBABILITA' 11:15-12:15, Aula seminari del Dipartimento di Matematica Applicata "U. Dini" Macroscopic fluctuation theory for aerogels dynamics Mauro Mariani (Aix-Marseille III)

Abstract: Macroscopic fluctuation theory provides a main tool to study non-equilibrium Statistical Mechanics. In this talk, a class of models is introduced, for which it can be proved that the quasi-potential of the current fluctuations is non-analytical.

Liviana Paoletti Segreteria Scientifica

Dipartimento di Matematica "L. Tonelli" Universita' di Pisa tel. 0502213251 e-mail paoletti@dm.unipi.it

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