Approximations in Ergodic Theory

CONTENTSIntroductionPart I. The method of approximations § 1. Definitions and examples § 2. Approximations, ergodicity and mixing § 3. Approximations and the spectrum § 4. Approximations and entropy § 5. Fibre bundles § 6. Flows § 7. Some unsolved problemsPart II. Applications § 8. Shifting of intervals § 9. The group property of the spectrum § 10. Square roots of automorphisms § 11. Flows on a two-dimensional torus § 12. Entropy of classical dynamical systemsReferences