Rate of escape of random walks on wreath products and related groups
Revelle, David
Ann. Probab., Tome 31 (2003) no. 1, p. 1917-1934 / Harvested from Project Euclid
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This article examines the rate of escape for a random walk on $G\wr \Z$ and proves laws of the iterated logarithm for both the inner and outer radius of escape. The class of G for which these results hold includes finite, G as well as groups of the form $H\wr \Z$, so the construction can be iterated. Laws of the iterated logarithm are also found for random walk on Baumslag--Solitar groups and a discrete version of the Sol geometry.
Publié le : 2003-10-14
Classification:  Rate of escape,  random walks,  wreath products,  60G50,  60B15 
@article{1068646371,
     author = {Revelle, David},
     title = {Rate of escape of random walks on wreath products and related groups},
     journal = {Ann. Probab.},
     volume = {31},
     number = {1},
     year = {2003},
     pages = { 1917-1934},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1068646371}
}

Revelle, David. Rate of escape of random walks on wreath products and related groups. Ann. Probab., Tome 31 (2003) no. 1, pp.  1917-1934. http://gdmltest.u-ga.fr/item/1068646371/