## The Annals of Probability

### Recurrence of Random Walks on Completely Simple Semigroups

P. B. Cerrito

#### Abstract

A completely simple semigroup has the form $S = X \times G \times Y$. This paper considers the relationship between $S$ and $G$. Given a recurrent random walk on $S$ we determine under what conditions $G$ is also recurrent and conversely. In particular we generalize the results of Larisse.

#### Article information

Source
Ann. Probab., Volume 14, Number 4 (1986), 1411-1417.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176992382

Digital Object Identifier
doi:10.1214/aop/1176992382

Mathematical Reviews number (MathSciNet)
MR866362

Zentralblatt MATH identifier
0606.60013

JSTOR