Ergodic theory. Transl. from the Russian by A. B. Sossinskii. (English) Zbl 0493.28007

Cornfeld, I. P.; Fomin, S. V.; Sinai, Ya. G.

Grundlehren der Mathematischen Wissenschaften, 245. New York-Heidelberg-Berlin: Springer-Verlag. X, 486 p. DM 118.00; $ 52.40 (1982).

MSC:

28Dxx	Measure-theoretic ergodic theory
28-02	Research exposition (monographs, survey articles) pertaining to measure and integration
37A99	Ergodic theory
11A55	Continued fractions
60G10	Stationary stochastic processes
82B05	Classical equilibrium statistical mechanics (general)

Keywords:

measure-theoretical dynamical systems; ergodicity; mixing; spectral properties; smooth dynamical systems; interval exchange transformations; billiards; direct and skew products; time changes; entropy; Bernoulli shifts; spectral theory of dynamical systems; approximation by periodic systems; Halmos-Rohlin-Lemma

Citations:

Zbl 0508.28008