On laws of large numbers for random walks

Details On laws of large numbers for random walks On laws of large numbers for random walks

2006-11-20

arxiv.org/abs/math/0611607v1

Annals of Probability 2006, Vol. 34, No. 5, 1693-1706

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000296 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000296

We prove a general noncommutative law of large numbers. This applies in particular to random walks on any locally finite homogeneous graph, as well as to Brownian motion on Riemannian manifolds which admit a compact quotient. It also generalizes Oseledec's multiplicative ergodic theorem. In addition, we show that $\epsilon$-shadows of any ballistic random walk with finite moment on any group eventually intersect. Some related results concerning Coxeter groups and mapping class groups are recorded in the last section.

Affiliated with

Also associated with

No associations

Rating

On laws of large numbers for random walks 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 On laws of large numbers for random walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On laws of large numbers for random walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120804