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Ergodic theory and topological dynamics, Volume 70 (Pure and Applied Mathematics) by James Russell Brown is a nonfiction available to read on EtoBox.

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Ergodic Theory and Topological Dynamics Copyright Page Contents Preface Chapter I. Ergodic Theory 1. Abstract Dynamical Systems 2. Ergodic Theorems 3. Ergodicity and Mixing 4. Products and Factors 5. Inverse Limits 6. Induced Systems Exercises Chapter II. Topological Dynamics 1. Classical Dynamical Systems 2. Minimal and Strictly Ergodic Systems 3. Equicontinuous and Distal Systems 4. Sums and Products of Dynamical Systems 5. Inverse Limits 6. The Ellis Semigroup of Σ 7. Expansive Systems Exercises Chapter III. Group Automorphisms and Affine Transformations 1. Dynamical Systems on Groups 2. Ergodicity 3. Discrete and Quasidiscrete Spectrum 4. Quasiperiodic Spectrum and the Ergodic Part of t 5. Ergodic Automorphisms 6. An Affine Transformation Associated with the Dynamical System ē Exercises Chapter IV. Entropy 1. Conditional Expectation and Kolmogorov Entropy 2. The Information Function and Finiteness of h(ē, A 3. Sinai’s Theorem and Generators 4. Topological Entropy 5. Entropy of Affine Transformations 6. McMillan’s Theorem and Entropy of Induced Systems Exercises Chapter V. Bernoulli Systems and Ornstein’s Theorem 1. Definitions 2. Approximation Lemmas 3. The Isomorphism Theorem

Who reads Ergodic theory and topological dynamics, Volume 70 (Pure and Applied Mathematics)?

Author

James Russell Brown

Publisher

Academic Press, Incorporated

Published

1976

Language

EN

ISBN

9780080873862

Category

nonfiction

Subjects

Mathematics, Stem