Maximum occupation time of a transient excited random walk on Z

Details Maximum occupation time of a transient excited random walk on Z Maximum occupation time of a transient excited random walk on Z

2011-11-04

arxiv.org/abs/1111.1254v1

Mathematics

Probability

Scientific paper

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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