Some Spectral and Geometric Aspects of Countable Groups

DOI10.1007/978-3-0346-0244-0_12zbMath1233.60003OpenAlexW126135899MaRDI QIDQ5198982

Barbara Bobikau, Alexander D. Bendikov, Christophe Pittet

Publication date: 10 August 2011

Published in: Random Walks, Boundaries and Spectra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0244-0_12

zbMATH Keywords

geometric group theoryprobability measures on graphs and groupsspectral theory and eigenvalue problems for Laplace operators

Mathematics Subject Classification ID

Geometric group theory (20F65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Spectral distribution and \(L^{2}\)-isoperimetric profile of Laplace operators on groups
• Von Neumann spectra near zero
• Spectral properties of a class of random walks on locally finite groups
• Full Banach Mean Values on Countable groups.
• A geometric approach to on-diagonal heat kernel lower bounds on groups.

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