Colóquio 

14/02/2002, 17:00 — 18:00 — Anfiteatro Pa1, Pavilhão de Matemática
Pierre Collet, École Polytechnique, Palaiseau

Concentration phenomena in dynamical systems

Concentration phenomena is a common fact in statistical mechanics connected to large deviation theory. It states that some observables do not deviate appreciably from their average in some adequate limit. Recently some new versions of this effect were discovered for independent random variables and more general observables leading to important statistical consequences. Extensions were proved for non independent random variables. We will discuss the result for expanding maps of the interval and present some statistical consequences.