title: Instability statistics and mixing rates.
abstract: We claim that looking at probability distributions of finite time largest Lyapunov exponents, and more precisely studying their large deviation properties, yields an extremely powerful technique to get quantitative estimates of polynomial decay rates of time correlations and Poincaré recurrences in the-quite-delicate case of dynamical systems with weak chaotic properties.
authors.affiliation: Dipartimento di Fisica e Matematica, Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, Via Valleggio 11, 22100 Como, Italy. roberto.artuso@uninsubria.it
authors.forename: Roberto
authors.initials: R
authors.lastname: Artuso
authors.forename: Cesar
authors.initials: C
authors.lastname: Manchein
mesh_terms: D003198:Computer Simulation; D007700:Kinetics; D015233:Models, Statistical