Limit theorems for one-dimensional transient random walks in Markov environments

Details Limit theorems for one-dimensional transient random walks in Markov environments Limit theorems for one-dimensional transient random walks in Markov environments

2003-08-15

arxiv.org/abs/math/0308154v2

Mathematics

Probability

Minor corrections in revised version. Paper to appear in Annals H. Poincare (Prob. & Stat.)

Scientific paper

We obtain non-Gaussian limit laws for one-dimensional random walk in a random environment assuming that the environment is a function of a stationary Markov process. This is an extension of the work of Kesten, M. Kozlov and Spitzer for random walks in i.i.d. environments. The basic assumption is that the underlying Markov chain is irreducible and either with a finite state space or with the transition kernel dominated above and below by a probability measure.

Affiliated with

Also associated with

No associations

Rating

Limit theorems for one-dimensional transient random walks in Markov environments 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 Limit theorems for one-dimensional transient random walks in Markov environments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limit theorems for one-dimensional transient random walks in Markov environments will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-329420