3 papers
math.PR2016
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…
math.PR2016
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…
math-ph2016
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…