32 citations · 100 across the 12 of their papers we have counts for
12 papers
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…
On the distribution of the time-integral of the geometric Brownian motion
Peter Nandori, Dan Pirjol
We study the numerical evaluation of several functions appearing in the small time expansion of the distribution of the time-integral of the geometric Brownian motion as well as it…
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…
Recurrence properties of a special type of Heavy-Tailed Random Walk
Péter Nándori
In the proof of the invariance principle for locally perturbed periodic Lorentz process with finite horizon, a lot of delicate results were needed concerning the recurrence propert…
Number of Distinct Sites Visited by a Random Walk with Internal States
Péter Nándori
In the classical paper of Dvoretzky-Erdős, asymptotics for the expected value and the variance of the number of distinct sites visited by a Simple Symmetric Random Walk were calcul…
Local equilibrium in inhomogeneous stochastic models of heat transport
Péter Nándori
We extend the duality of Kipnis Marchioro and Presutti to inhomogeneous lattice gas systems where either the components have different degrees of freedom or the rate of interaction…
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',…
Local thermal equilibrium for certain stochastic models of heat transport
Yao Li, Peter Nandori, Lai-Sang Young
This paper is about nonequilibrium steady states (NESS) of a class of stochastic models in which particles exchange energy with their "local environments" rather than directly with…
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…