Expanding graphs and invariant means

DOI10.1007/BF01195004zbMath0906.05027MaRDI QIDQ1276303

Yehuda Shalom

Publication date: 24 January 1999

Published in: Combinatorica (Search for Journal in Brave)

zbMATH Keywords

Cayley graphsinvariant meansexpanding familiesRuziewicz problem

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General groups of measure-preserving transformations (28D15) Discrete subgroups of Lie groups (22E40)

Related Items

Strong approximation in random towers of graphs., Asymptotic expansion in measure and strong ergodicity, Expansion in perfect groups., Measure expanding actions, expanders and warped cones, Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). I., Dynamical properties of profinite actions, A spectral strong approximation theorem for measure-preserving actions, Expander graphs in pure and applied mathematics, Growth in groups: ideas and perspectives, On the spectral gap for infinite index ``congruence subgroups of \(SL_2(\mathbb{Z})\), Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T), On the spectral gap for infinite index ``congruence subgroups of SL\(_2(\mathbb{Z})\)

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