Wreath products are a type of semidirect product. They play an
important role in group theory. This paper studies the basic behavior of simple
random walks on such groups and shows that these walks have interesting,
somewhat exotic behaviors. The crucial fact is that the probability of return
to the starting point of certain walks on wreath products is closely related to
some functionals of the local times of a walk taking place on a simpler factor
group.
Publié le : 2002-04-14
Classification:
random walk,
finitely generated groups,
wreath product,
number of visited points,
local time,
amenable group,
60B15,
60G51,
20F65
@article{1023481013,
author = {Pittet, C. and Saloff-Coste, L.},
title = {On random walks on wreath products},
journal = {Ann. Probab.},
volume = {30},
number = {1},
year = {2002},
pages = { 948-977},
language = {en},
url = {http://dml.mathdoc.fr/item/1023481013}
}
Pittet, C.; Saloff-Coste, L. On random walks on wreath products. Ann. Probab., Tome 30 (2002) no. 1, pp. 948-977. http://gdmltest.u-ga.fr/item/1023481013/