## The Annals of Probability

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

### Generalized Random Walk in a Random Environment

#### 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