The local time of a random walk on growing hypercubes

Details The local time of a random walk on growing hypercubes The local time of a random walk on growing hypercubes

2009-03-16

arxiv.org/abs/0903.2696v1

Mathematics

Probability

24 pages

Scientific paper

We study a random walk in a random environment (RWRE) on $\Z^d$, $1 \leq d < +\infty$. The main assumptions are that conditionned on the environment the random walk is reversible. Moreover we construct our environment in such a way that the walk can't be trapped on a single point like in some particular RWRE but in some specific d-1 surfaces. These surfaces are basic surfaces with deterministic geometry. We prove that the local time in the neighborhood of these surfaces is driven by a function of the (random) reversible measure. As an application we get the limit law of the local time as a process on these surfaces.

Affiliated with

Also associated with

No associations

Rating

The local time of a random walk on growing hypercubes 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 The local time of a random walk on growing hypercubes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local time of a random walk on growing hypercubes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223649