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.
Publié le : 1986-10-14
Classification:
Random walk,
topological semigroup,
60B10,
60B15
@article{1176992382,
author = {Cerrito, P. B.},
title = {Recurrence of Random Walks on Completely Simple Semigroups},
journal = {Ann. Probab.},
volume = {14},
number = {4},
year = {1986},
pages = { 1411-1417},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992382}
}
Cerrito, P. B. Recurrence of Random Walks on Completely Simple Semigroups. Ann. Probab., Tome 14 (1986) no. 4, pp. 1411-1417. http://gdmltest.u-ga.fr/item/1176992382/