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Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups

Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups

Abstract Given a Gromov‐hyperbolic group endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph under linear representations of . More generally, we obtain a weak law of large numbers for subadditive functions, echoing the classical Fekete lemma. …