Amenability via random walks
Bartholdi, Laurent ; Virág, Bálint
Duke Math. J., Tome 126 (2005) no. 1, p. 39-56 / Harvested from Project Euclid
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We use random walks to show that the Basilica group is amenable and thus answering an open question of Grigorchuk and Żuk [9]. Our results separate the class of amenable groups from the closure of subexponentially growing groups under the operations of group extension and direct limits; these classes are separated even within the realm of finitely presented groups.
Publié le : 2005-10-01
Classification:  20E34,  60G50 
@article{1131804019,
     author = {Bartholdi, Laurent and Vir\'ag, B\'alint},
     title = {Amenability via random walks},
     journal = {Duke Math. J.},
     volume = {126},
     number = {1},
     year = {2005},
     pages = { 39-56},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1131804019}
}

Bartholdi, Laurent; Virág, Bálint. Amenability via random walks. Duke Math. J., Tome 126 (2005) no. 1, pp.  39-56. http://gdmltest.u-ga.fr/item/1131804019/