Abstract
Let Γ be a finitely generated group, and letS be a finite, non-necessarily symmetric, generating subset of Γ. Leth be the transition operator of the directed Cayley graphG(Γ,S), acting onl 2 (Γ). Staring with Kesten’s seminal results, we give a survey of results linking group-theoretic properties of the pair (Γ,S) with spectral properties ofh.
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Conferenza tenuta il 20 aprile 1993
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Valette, A. Can one hear the shape of a group?. Seminario Mat. e. Fis. di Milano 64, 31–44 (1994). https://doi.org/10.1007/BF02925188
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DOI: https://doi.org/10.1007/BF02925188