Russian Mathematical Surveys · 1960 · 74 citations · 2 references
Natural SciencesMathematicsPhysicsProbability TheoryStochastic ProcessesThermodynamicsEntropyErgodic TheoryGroup TheoryMarkov ProcessesStatistical MechanicsInvariant MeasuresKolmogorov TheoryMeasure-preserving TransformationMeasure-theoretic EntropyMeasure-theoretic Isomorphism
CONTENTSIntroduction § 1. The problem of isomorphism § 2. The work of Kolmogorov § 3. The entropy of an automorphism § 4. Properties of the entropy § 5. Computation of the entropy § 6. Automorphisms with zero entropy § 7. The entropy and the spectrum § 8. Kolmogorov automorphisms and automorphisms with completely positive entropy § 9. Exact endomorphisms § 10. Flows § 11. New problemsReferences
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The dynamics of geodesic flows
Gustav A. Hedlund · Bulletin of the American Mathematical Society · 1939 · 181 citations · Full text