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math.GR2015
An Upper bound on the growth of Dirichlet tilings of hyperbolic spaces
Itai Benjamini, Tsachik Gelander
It is shown that the growth rate of any faces Dirichlet tiling of the real hyperbolic space is at most , for an , depe…
math.GR2012
Algebraically recurrent random walks on groups
Itai Benjamini, Hilary Finucane, Romain Tessera
Initial steps are presented towards understanding which finitely generated groups are almost surely generated as semigroups by the path of a random walk on the group.