First course in ergodic theory
Dajani, Karma
First course in ergodic theory - Boca Raton : CRC Press, 2021 - xiii, 253 p.; ill., 24 cm
Includes bibliographical references and index.
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors' own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from - designed to require only minimal prerequisites. Features Suitable for readers with only a basic knowledge of measure theory, some topology and a very basic knowledge of functional analysis Perfect as the primary textbook for a course in Ergodic Theory Examples are described and are studied in detail when new properties are presented.
9780367226206
Ergodic theory
Functional Analysis
Aeronson's Theorem
Baire category Theorem
Bernoulli shift
Choquet's Theorem
Dynamical system
Entropy
Fubini's theorem
Golden mean
Halmos Recurrence theorem
Isomorphism
Kolmogorov-Sinai theorem
Loch's theorem
Momotone convergence theorem
Poincare recurrence theorem
Random Nikodym theorem
Riesz representation theorem
Topological conjugacy
Variational principle
515.48 / DAJ
First course in ergodic theory - Boca Raton : CRC Press, 2021 - xiii, 253 p.; ill., 24 cm
Includes bibliographical references and index.
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors' own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from - designed to require only minimal prerequisites. Features Suitable for readers with only a basic knowledge of measure theory, some topology and a very basic knowledge of functional analysis Perfect as the primary textbook for a course in Ergodic Theory Examples are described and are studied in detail when new properties are presented.
9780367226206
Ergodic theory
Functional Analysis
Aeronson's Theorem
Baire category Theorem
Bernoulli shift
Choquet's Theorem
Dynamical system
Entropy
Fubini's theorem
Golden mean
Halmos Recurrence theorem
Isomorphism
Kolmogorov-Sinai theorem
Loch's theorem
Momotone convergence theorem
Poincare recurrence theorem
Random Nikodym theorem
Riesz representation theorem
Topological conjugacy
Variational principle
515.48 / DAJ