UID:
almahu_9947366241402882
Format:
1 online resource (201 p.)
ISBN:
1-281-76326-8
,
9786611763268
,
0-08-087386-3
Series Statement:
Pure and applied mathematics, a series of monographs and textbooks ; 70
Content:
Ergodic theory and topological dynamics
Note:
Description based upon print version of record.
,
Front Cover; 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 S; 7. Expansive Systems; Exercises
,
Chapter III. Group Automorphisms and Affine Transformations1. 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 F; Exercises; Chapter IV. Entropy; 1. Conditional Expectation and Kolmogorov Entropy; 2. The Information Function and Finiteness of h(?, 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 Theorem1. Definitions; 2. Approximation Lemmas; 3. The Isomorphism Theorem; 4. Extensions and Consequences of the Isomorphism Theorem; Exercises; Bibliography; Index
,
English
Additional Edition:
ISBN 0-12-137150-6
Language:
English
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