The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space. Topics treated in the book include: The interface between topological dynamics and ergodic theory; The theory of distal systems due to H. Furstenberg and R. Zimmer--presented for the first time in monograph form; B. Host's solution of Rohlin's question on the mixing of all orders for systems with singular spectral type; The theory of simple systems; A dynamical characterization of Kazhdan groups; Weiss's relative version of the Jewett-Krieger theorem; Ornstein's isomorphism theorem; A local variational principle and its applications to the theory of entropy pairs.
The book is intended for graduate students who have a good command of basic measure theory and functional analysis and who would like to master the subject. It contains many detailed examples and many exercises, usually with indications of solutions. It can serve equally well as a textbook for graduate courses, for independent study, supplementary reading, or as a streamlined introduction for non-specialists who wish to learn about modern aspects of ergodic theory.
|Produto sob encomenda||Sim|
|Marca||AMER MATHEMATICAL SOCIETY|
|Ano da edição||2003|
|Número de Páginas||384|