32 citations · 82 across the 7 of their papers we have counts for
6 papers · 1 filter
Equidistribution for standard pairs in planar dispersing billiard flows
P. Bálint, P. Nándori, D. Szász +1
We prove exponential correlation decay in dispersing billiard flows on the 2-torus assuming finite horizon and lack of corner points. With applications aimed at describing heat con…
On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas
Péter Bálint, Thomas Gilbert, Péter Nándori +2
We analyse the process of energy exchanges generated by the elastic collisions between a point-particle, confined to a two-dimensional cell with convex boundaries, and a `piston',…
Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's geometric conjectures
Peter Nandori, Domokos Szasz, Tamas Varju
In the simplest case, consider a -periodic () arrangement of balls of radii < 1/2, and select a random direction and point (outside the balls). According to…
Lorentz Process with shrinking holes in a wall
Peter Nandori, Domokos Szasz
We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contain…
A central limit theorem for time-dependent dynamical systems
Peter Nandori, Domokos Szasz, Tamas Varju
The work [8] established memory loss in the time-dependent (non-random) case of uniformly expanding maps of the interval. Here we find conditions under which we have convergence to…
Markov Towers and Stochastic Properties of Billiards
Domokos Szász, Tamás Varjú
The aim of this survey is twofold. First we show how the Markov tower construction is applicable for obtaining finer stochastic properties, like a local limit theorem of probabilit…