A special set of exceptional times for dynamical random walk on $\Z^2$

Details A special set of exceptional times for dynamical random walk on $\Z^2$ A special set of exceptional times for dynamical random walk on $\Z^2$

2006-09-10

arxiv.org/abs/math/0609267v2

Mathematics

Probability

29 pages (v2: Typographical fixes in abstract)

Scientific paper

Benjamini,Haggstrom, Peres and Steif introduced the model of dynamical random walk on Z^d. This is a continuum of random walks indexed by a parameter t. They proved that for d=3,4 there almost surely exist t such that the random walk at time t visits the origin infinitely often, but for d > 4 there almost surely do not exist such t. Hoffman showed that for d=2 there almost surely exists t such that the random walk at time t visits the origin only finitely many times. We refine the results of Hoffman for dynamical random walk on Z^2, showing that with probability one there are times when the origin is visited only a finite number of times while other points are visited infinitely often.

Affiliated with

Also associated with

No associations

Rating

A special set of exceptional times for dynamical random walk on $\Z^2$ 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 A special set of exceptional times for dynamical random walk on $\Z^2$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A special set of exceptional times for dynamical random walk on $\Z^2$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658727