5 papers
K-mixing for aperiodic Lorentz gases
Giovanni Canestrari, Marco Lenci
We prove a general theorem on the decomposition into K-mixing components for recurrent, piecewise-smooth hyperbolic maps in two dimensions. In contrast with classical results, we d…
Linear response for Sinai billiards with small holes
Giovanni Canestrari
We show that the conditional survival probability measure for a Sinai billiard with a small hole on the boundary of the table is differentiable with respect to the size t of the ho…
On linear response for discontinuous perturbations of smooth endomorphisms
Giovanni Canestrari
We consider discontinuous perturbations of smooth endomorphisms and show that if the perturbed family satisfies uniform mixing assumptions on standard pairs the physical measure is…
Uniformly global observables for 1D maps with an indifferent fixed point
Giovanni Canestrari, Marco Lenci
We study the property of global-local mixing for full-branched expanding maps of either the half-line or the interval, with one indifferent fixed point. Global-local mixing express…
Heat equation from a deterministic dynamics
Giovanni Canestrari, Carlangelo Liverani, Stefano Olla
We derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton equations perturbed by an ex…