Cover times in the discrete cylinder

Details Cover times in the discrete cylinder Cover times in the discrete cylinder

2011-03-10

arxiv.org/abs/1103.2079v1

Mathematics

Probability

39 pages

Scientific paper

This article proves that, in terms of local times, the rescaled and recentered cover times of finite subsets of the discrete cylinder by simple random walk converge in law to the Gumbel distribution, as the cardinality of the set goes to infinity. As applications we obtain several other results related to covering in the discrete cylinder. Our method is new and involves random interlacements, which were introduced by Sznitman in arXiv:0704.2560. To enable the proof we develop a new stronger coupling of simple random walk in the cylinder and random interlacements, which is also of independent interest.

Affiliated with

Also associated with

No associations

Rating

Cover times in the discrete cylinder 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 Cover times in the discrete cylinder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cover times in the discrete cylinder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631708