Maximum occupation time of a transient excited random walk on Z

2011/11/04 by Rastegar, Reza, Roitershtein, Alexander
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1111.1254

Abstract

We consider a transient excited random walk on Z and study the asymptotic behavior of the occupation time of a currently most visited site. In particular, our results imply that, in contrast to the random walks in random environment, a transient excited random walk does not spend an asymptotically positive fraction of time at its favorite (most visited up to a date) sites.

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