Recurrence and transience of excited random walks on $\Z^d$ and strips

Details Recurrence and transience of excited random walks on $\Z^d$ and strips Recurrence and transience of excited random walks on $\Z^d$ and strips

2006-01-10

arxiv.org/abs/math/0601233v1

Mathematics

Probability

12 pages, 1 figure

Scientific paper

We investigate excited random walks on $\Z^d, d\ge 1,$ and on planar strips $\Z\times\{0,1,...,L-1\}$ which have a drift in a given direction. The strength of the drift may depend on a random i.i.d. environment and on the local time of the walk. We give exact criteria for recurrence and transience, thus generalizing results by Benjamini and Wilson for once-excited random walk on $\Z^d$ and by the author for multi-excited random walk on $\Z$.

Affiliated with

Also associated with

No associations

Rating

Recurrence and transience of excited random walks on $\Z^d$ and strips does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Recurrence and transience of excited random walks on $\Z^d$ and strips, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recurrence and transience of excited random walks on $\Z^d$ and strips will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-569147