Can one hear the shape of a group?

DOI10.1007/BF02925188zbMath0865.43002MaRDI QIDQ4883114

Alain Valette

Publication date: 6 July 1997

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupspectrumrepresentationself-adjoint operatoradjacency matrixrandom walkamenablefinitely generated groupprobability operatorSchrödinger difference equationBloch electron problemdirected Caley graph

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (1)

On the question ``Can one hear the shape of a group? and a Hulanicki type theorem for graphs

Cites Work

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• Invariant Measures and Growth Conditions

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