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Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups...
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...
It is shown that a group defined by forbidding all patterns of size s + 1 that do not appear in a given self-simialr group of tree automorphisms is the topological closure of a self-similar, countable...
Cluster Automorphisms      Cluster Automorphisms        2010/11/29
In this article, we introduce the notion of cluster automorphism of a given cluster algebra as a Z-automorphism of the cluster algebra that sends a cluster to another and commutes with mutations. We s...

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