Recurrence and transience of random walks in random environments on a strip

Authors
Bolthausen, E Goldsheid, I
Citation
E. Bolthausen et I. Goldsheid, Recurrence and transience of random walks in random environments on a strip, COMM MATH P, 214(2), 2000, pp. 429-447
Citations number
14
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
214
Issue
2
Year of publication
2000
Pages
429 - 447
Database
ISI
SICI code
0010-3616(200011)214:2<429:RATORW>2.0.ZU;2-#
Abstract
We explain the necessary and sufficient conditions for recurrent and transi ent 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 e xponent is defined for a product of a stationary sequence of positive matri ces. In the one-dimensional case this approach allows us to treat wider cla sses of random walks than before.