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Limit theorems for one-dimensional transient random walks in Markov environments☆
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mayer-Wolf, Eddy Roitershtein, Alexander Zeitouni, Ofer |
| Copyright Year | 2003 |
| Abstract | Abstract We obtain non-Gaussian limit laws for one-dimensional random walk in a random environment in the case that the environment is a function of a stationary Markov process. This is an extension of the work of Kesten, M. Kozlov and Spitzer [Comp. Math. 30 (1975) 145–168] for random walks in i.i.d. environments. The basic assumption is that the underlying Markov chain is irreducible, either with finite state space or with transition kernel dominated above and below by a probability measure. |
| Starting Page | 635 |
| Ending Page | 659 |
| Page Count | 25 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.anihpb.2004.01.003 |
| Volume Number | 40 |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0308154v1.pdf |
| Alternate Webpage(s) | http://archive.numdam.org/article/AIHPB_2004__40_5_635_0.pdf |
| Alternate Webpage(s) | http://www.public.iastate.edu/~roiterst/papers/stable.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0308154v2.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0308154v2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.anihpb.2004.01.003 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
