80 citations · 171 across the 12 of their papers we have counts for
12 papers
Generalized law of iterated logarithm for the Lorentz gas with infinite horizon
Péter Bálint, Dalia Terhesiu
We obtain a generalized law of the iterated logarithm for a class of dependent processes with superdiffusive behaviour. Our results apply in particular to the Lorentz gas with infi…
An evolution model for polygonal tessellations as models for crack networks and other natural patterns
Péter Bálint, Gábor Domokos, Krisztina Regős
We introduce and study a general framework for modeling the evolution of crack networks. The evolution steps are triggered by exponential clocks corresponding to local micro-events…
Marked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards
Péter Bálint, Jacopo De Simoi, Vadim Kaloshin +1
We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-esca…
Statistical properties for flows with unbounded roof function, including the Lorenz attractor
Peter Balint, Ian Melbourne
For geometric Lorenz attractors (including the classical Lorenz attractor) we obtain a greatly simplified proof of the central limit theorem which applies also to the more general…
Polynomial decay of correlations for flows, including Lorentz gas examples
Peter Balint, Oliver Butterley, Ian Melbourne
We prove sharp results on polynomial decay of correlations for nonuniformly hyperbolic flows. Applications include intermittent solenoidal flows and various Lorentz gas models incl…
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…