Combinatorial constructions in ergodic theory and dynamics

Ergodic theory studies measure-preserving transformations of measure spaces. This book presents a view of ergodic theory for graduate students familiar with measure theory and basic functional analysis. Topics of approximation and genericity in ergodic theory are examined, including periodic processes, genericity of approximation, spectral multiplicity of ergodic transformation, and combinatorial approximation by conjugation construction. Chapters on cohomology and combinatorial constructions examine structure of equivalence classes, rigidity and stability, and non-trivial cocycles. There is no subject index, and author information is not given. Annotation (c) Book News, Inc., Portland, OR (booknews.com)