SEMINARIO DI SISTEMI DINAMICI (olomorfi e dintorni)
martedi' 12-04-2005 (14:00) - Sala Seminari del Centro di Ricerca Matematica Ennio De Giorgi Jean-Rene Chazottes (CPHT, CNRS-Ecole Polytechnique) : Fluctuations of observables in discrete-time Dynamical Systems
Argomento: Geometria e Analisi Matematica
ABSTRACT: I will try to describe the different ways people analyse fluctuations of observables in (merely chaotic) dynamical systems. I will speak about the traditional approach for time-averages of observables, namely large deviations and central limit asymptotics. In the Gibbsian context, I will show how entropy can be obtained via return times. I will end with a very recent approach on fluctuations of observables which are not simple time-averages (e.g. the periodogram or power-spectrum).Moreover, these new deviation inequalities are not asymptotic and apply to a large class of non-uniformly hyperbolic dynamical systems.''
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Il seminario avra' carattere introduttivo e dovrebbe risultare comprensibile anche per un pubblico di non specialisti.
Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare@dm.unipi.it
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