11 citations · 25 across the 7 of their papers we have counts for
7 papers
ACIM instability of piecewise expanding maps through the lens of metastability
Ábel Komálovics, Péter Bálint
Motivated by Keller's W-shaped maps and its variants, we introduce a general class of families of expanding maps such that the perturbed maps have a shrinking almost invariant neig…
Lorentz gas with small scatterers
Péter Bálint, Henk Bruin, Dalia Terhesiu
We prove limit laws for infinite horizon planar periodic Lorentz gases when, as time tends to infinity, the scatterer size may also tend to zero simultaneously at a suffici…
What mathematical billiards teach us about statistical physics?
Péter Bálint, Thomas Gilbert, Domokos Szász +1
We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically ri…
Synchronization versus stability of the invariant distribution for a class of globally coupled maps
Péter Bálint, Gerhard Keller, Fanni M. Sélley +1
We study a class of globally coupled maps in the continuum limit, where the individual maps are expanding maps of the circle. The circle maps in question are such that the uncouple…
The flow of two falling balls mixes rapidly
Péter Bálint, András Némedy Varga
In this paper we study the system of two falling balls in continuous time. We modell the system by a suspension flow over a two dimensional, hyperbolic base map. By detailed analys…
Chaos and stability in a two-parameter family of convex billiard tables
Péter Bálint, Miklós Halász, Jorge Hernández-Tahuilán +1
We study, by numerical simulations and semi-rigorous arguments, a two-parameter family of convex, two-dimensional billiard tables, generalizing the one-parameter class of oval bill…