A. V. Letchikov, “A criterion for linear drift, and the central limit theorem for one-dimensional random walks in a random environment”, Mat. Sb., 1993, Volume 184, Number 5,Pages <nobr>85

This article is cited in 3 papers

A criterion for linear drift, and the central limit theorem for one-dimensional random walks in a random environment

A. V. Letchikov

M. V. Lomonosov Moscow State University

Abstract: A study is made of one-dimensional random walks in a random environment with bounded jumps in a unit of time (no more than $L$ to the left and no more than $R$ to the right, where $R$ and $L$ are positive integers). A criterion for linear drift is proved, along with the central limit theorem for such random walks in a random environment.

UDC: 519.21

MSC: Primary 60J15, 60F05; Secondary 60J75

Received: 19.03.1992