Bolthausen, E; Goldsheid, I (2000). Recurrence and transience of random walks in random environments on a strip. Communications in Mathematical Physics, 214(2):429-447.
We explain the necessary and sufficient conditions for recurrent and transient behavior of a random walk in a stationary ergodic random environment on a strip in terms of properties of a top Lyapunov exponent. This Lyapunov exponent is defined for a product of a stationary sequence of positive matrices. In the one-dimensional case this approach allows us to treat wider classes of random walks than before.
We explain the necessary and sufficient conditions for recurrent and transient behavior of a random walk in a stationary ergodic random environment on a strip in terms of properties of a top Lyapunov exponent. This Lyapunov exponent is defined for a product of a stationary sequence of positive matrices. In the one-dimensional case this approach allows us to treat wider classes of random walks than before.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | random walks, Lyapunov exponent |
| Language: | English |
| Date: | 2000 |
| Deposited On: | 27 Apr 2010 14:17 |
| Last Modified: | 23 Jan 2022 14:40 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s002200000279 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1796029 http://www.zentralblatt-math.org/NEW/zmath/search/?q=an%3A0985.60092 |
Bolthausen, E