43 citations · 93 across the 21 of their papers we have counts for
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math.GR2011★ 16 cited
Groups of given intermediate word growth
Laurent Bartholdi, Anna Erschler
We show that there exists a finitely generated group of growth ~f for all functions f:\mathbb{R}\rightarrow\mathbb{R} satisfying f(2R) \leq f(R)^{2} \leq f(ηR) for all R large enou…
math.GR2011★ 11 cited
Poisson-Furstenberg boundary and growth of groups
Laurent Bartholdi, Anna G. Erschler
We study the Poisson-Furstenberg boundary of random walks on permutational wreath products. We give a sufficient condition for a group to admit a symmetric measure of finite first…