## The Annals of Probability

### A Zero or One Law for One Dimensional Random Walks in Random Environments

Enrique D. Andjel

#### Abstract

We prove a zero or one law for one dimensional random walks in random environments for which the probability of making jumps of size $n$ decays exponentially. As an application we conclude that these random walks are recurrent if the distribution of the random environment is symmetric.

#### Article information

Source
Ann. Probab., Volume 16, Number 2 (1988), 722-729.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176991783

Digital Object Identifier
doi:10.1214/aop/1176991783

Mathematical Reviews number (MathSciNet)
MR929074

Zentralblatt MATH identifier
0642.60022

JSTOR