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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…