APPROXIMATIONS IN ERGODIC THEORY

1967/10/31 by A. Katok, A B Katok, Anatolii M Stepin +1 · 7 citations
Mathematics · #Modeling, Simulation, and Optimization

paper · doi:10.1070/rm1967v022n05abeh001227

crossref issued 1967/10/31 · crossref published 1967/10/31 · crossref published-print 1967/10/31 · openalex publication_date 1967/10/31 · crossref created 2005/11/23 · crossref published-online 2007/10/16 · crossref deposited 2024/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11 · crossref indexed 2026/07/29

Abstract

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

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