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math.DS2012★ 11 cited
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…
math.DS2011★ 32 cited
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…
math.DS2003★ 8 cited
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…