11 citations · 25 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
Ergodicity of two hard balls in integrable polygons
Péter Bálint, Serge Troubetzkoy
We prove the hyperbolicity, ergodicity and thus the Bernoulli property of two hard balls in one of the following four polygons: the square, the equilateral triangle, the $45-45-90^…