Seminari del Dipartimento di Matematica

Seminario del 2009

Luc Rey-Bellet, University of Massachusetts at Amherst, U.S.A.

Large deviations in hyperbolic billiards

nell'ambito della serie: SEMINARI DI FISICA MATEMATICA

fisica matematica

A classical result of Bunimovich, Sinai, and Chernov is that the sum of the displacements between successive collisions in the periodic Lorentz gas satisfies a central limit theorem. We study the fluctuations of order 1 for such averages and prove that they satisfy a large deviation principle. We will also discuss some applications to nonequilibrium statistical mechanics (thermostatted Lorentz gas). This is joint work with Lai-Sang Young (Courant Institute).