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October, 1981 Generalized Random Walk in a Random Environment
Steven A. Kalikow
Ann. Probab. 9(5): 753-768 (October, 1981). DOI: 10.1214/aop/1176994306

Abstract

Random Walk in a Random Environment, a process where a randomly chosen transition probability is assigned to each point, has been exhaustively studied in the one dimensional nearest neighbor case but is much more difficult in any more general case. This paper develops crude techniques for handling transience results and zero-one laws in a generalized set up.

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Steven A. Kalikow. "Generalized Random Walk in a Random Environment." Ann. Probab. 9 (5) 753 - 768, October, 1981. https://doi.org/10.1214/aop/1176994306

Information

Published: October, 1981
First available in Project Euclid: 19 April 2007

zbMATH: 0477.60064
MathSciNet: MR628871
Digital Object Identifier: 10.1214/aop/1176994306

Subjects:
Primary: 60J10
Secondary: 60J15

Keywords: Markov chain , Random walk in a random environment , recurrence , transience

Rights: Copyright © 1981 Institute of Mathematical Statistics

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Vol.9 • No. 5 • October, 1981
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