Moderate deviations for the chemical distance in Bernoulli percolation

Details Moderate deviations for the chemical distance in Bernoulli percolation Moderate deviations for the chemical distance in Bernoulli percolation

2009-07-03

arxiv.org/abs/0907.0698v1

Mathematics

Probability

19 pages, in english. A french version, entitled "D\'eviations mod\'er\'ees de la distance chimique" is also available

Scientific paper

In this paper, we establish moderate deviations for the chemical distance in Bernoulli percolation. The chemical distance between two points is the length of the shortest open path between these two points. Thus, we study the size of random fluctuations around the mean value, and also the asymptotic behavior of this mean value. The estimates we obtain improve our knowledge of the convergence to the asymptotic shape. Our proofs rely on concentration inequalities proved by Boucheron, Lugosi and Massart, and also on the approximation theory of subadditive functions initiated by Alexander.

Affiliated with

Also associated with

No associations

Rating

Moderate deviations for the chemical distance in Bernoulli percolation 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 Moderate deviations for the chemical distance in Bernoulli percolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moderate deviations for the chemical distance in Bernoulli percolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-706254