Random walk on a discrete torus and random interlacements

Details Random walk on a discrete torus and random interlacements Random walk on a discrete torus and random interlacements

2008-02-25

arxiv.org/abs/0802.3654v1

Electronic Communications in Probability 2008, Vol. 13, 140-150

Mathematics

Probability

12 pages, accepted for publication in Electronic Communications in Probability

Scientific paper

We investigate the relation between the local picture left by the trajectory of a simple random walk on the torus (Z/NZ)^d, d >= 3, until u N^d time steps, u > 0, and the model of random interlacements recently introduced by Sznitman. In particular, we show that for large N, the joint distribution of the local pictures in the neighborhoods of finitely many distant points left by the walk up to time u N^d converges to independent copies of the random interlacement at level u.

Affiliated with

Also associated with

No associations

Rating

Random walk on a discrete torus and random interlacements 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 Random walk on a discrete torus and random interlacements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random walk on a discrete torus and random interlacements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603816