[DJVU] [1975] Ergodic Theory, Randomness and Dynamical Systems ( torrent

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BOOK INFO:

Ergodic Theory, Randomness and Dynamical Systems (Mathematical Monograph)
By Donald S. Ornstein


Publisher: Yale University Press
Number Of Pages: 144
Publication Date: 1975-01
ISBN-10 / ASIN: 0300017456
ISBN-13 / EAN: 9780300017458
TOC (appendices excepted)
Isomorphism Theorem for Bernoulli Shifts
1. Introduction
2. Notation
3. Definitions
4. Proof of the isomorphism theorem,
5. Factors of Bernoulli shifts
6. An application to stationary processes
7. A criterion for showing specific transformations are Bernoulli
8. Markov processes
9. Infinite entropy, generalized Bernoulli shifts, and another criterion for Bernoulli shifts
PART II
Flows
10. A Bernoulli flow
11. The isomorphism theorem for Bernoulli flows of finite entropy
12. Bernoulli flows of infinite entropy
PART ill
K-automorphisms
PART IV
Classical Systems
1. Approximate independence and Bernoulli shifts
2. Automorphisms of the 2-torus are B-shifts
3. Geodesic flows