Drawing from his notes for a graduate course and some posts from his blog, Tao explores the construction of expander graphs based on the Cayley graphs of a finite group, or of a finitely generated group acting on a finite set. His topics include expansion in Cayley graphs and Kazhdan's property, the Balog-Szemeréde-Gowers lemma and the Bourgain-Gamburd expansion machine, non-concentration in subgroups, Cayley graphs and the algebra of groups, the spectral theorem and its converses for unbounded self-adjoint operators, and notes on groups of Lie type. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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