Maximum occupation time of a transient excited random walk on Z
  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. 
Reza Rastegar, Alexander Roitershtein
math.PR