Rendiconti del Seminario Matematico e Fisico di Milano

, Volume 64, Issue 1, pp 31–44

Can one hear the shape of a group?

  • Alain Valette

DOI: 10.1007/BF02925188

Cite this article as:
Valette, A. Seminario Mat. e. Fis. di Milano (1994) 64: 31. doi:10.1007/BF02925188


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 onl2 (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.

Copyright information

© Birkhäuser-Verlag 1994

Authors and Affiliations

  • Alain Valette
    • 1
  1. 1.Institut de MathématiquesNeuchâtelSwitzerland