80 citations · 171 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
Mean-field coupling of identical expanding circle maps
Fanni Sélley, Péter Bálint
Globally coupled doubling maps are studied in this paper. In this setting and for finitely many sites, two distinct bifurcation values of the coupling strength have been identified…
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',…