32 citations · 100 across the 12 of their papers we have counts for
7 papers · 1 filter
Limit theorems for low dimensional generalized transformations
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
We consider generalized transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the…
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…
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',…
Non equilibrium density profiles in Lorentz tubes with thermostated boundaries
Dmitry Dolgopyat, Peter Nandori
We consider a long Lorentz tube with absorbing boundaries. Particles are injected to the tube from the left end. We compute the equilibrium density profiles in two cases: the semi-…
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…
Lorentz Process with shrinking holes in a wall
Peter Nandori, Domokos Szasz
We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contain…
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…