Rate of Escape on Free Products

Details Rate of Escape on Free Products Rate of Escape on Free Products

2007-08-28

arxiv.org/abs/0708.3763v2

Mathematics

Probability

23 pages; accepeted for publication in JAMS

Scientific paper

Suppose we are given the free product $V$ of a finite family of finite or countable sets $(V_i)_{i\in\mathcal{I}}$ and probability measures on each $V_i$, which govern random walks on it. We consider a transient random walk on the free product arising naturally from the random walks on the $V_i$. We prove the existence of the rate of escape with respect to the block length, that is, the speed, at which the random walk escapes to infinity, and furthermore we compute formulas for it. For this purpose, we present three different techniques providing three different, equivalent formulas.

Affiliated with

Also associated with

No associations

Rating

Rate of Escape on Free Products 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 Rate of Escape on Free Products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rate of Escape on Free Products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-363096