The Annals of Probability

Generalized Random Walk in a Random Environment

Steven A. Kalikow

Full-text: Open access

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.

Article information

Source
Ann. Probab., Volume 9, Number 5 (1981), 753-768.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176994306

Digital Object Identifier
doi:10.1214/aop/1176994306

Mathematical Reviews number (MathSciNet)
MR628871

Zentralblatt MATH identifier
0477.60064

JSTOR
links.jstor.org

Subjects
Primary: 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)
Secondary: 60J15

Keywords
Random Walk in a Random Environment Markov chain transience recurrence

Citation

Kalikow, Steven A. Generalized Random Walk in a Random Environment. Ann. Probab. 9 (1981), no. 5, 753--768. doi:10.1214/aop/1176994306. https://projecteuclid.org/euclid.aop/1176994306


Export citation