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A first course in ergodic theory/ Karma Dajani and Charlene Kalle

By: Contributor(s): Publication details: Boca Raton: CRC Press, 2021Description: xiii, 253 pages; 24 cmISBN:
  • 9781032021843
Subject(s): DDC classification:
  • 23rd 515.39 D134
Contents:
Measure Preservingness and Basic Examples -- Recurrence and Ergodicity -- The Pointwise Ergodic Theorem and Its Consequences -- More Ergodic Theorems -- Measure Preserving Isomorphisms -- The Perron-Frobenius Operator -- Invariant Measures for Continuous Transformations -- Continued Fractions -- Entropy -- The Variational Principle -- Infinite Ergodic Theory
Summary: 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.
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Includes bibliography and index

Measure Preservingness and Basic Examples -- Recurrence and Ergodicity -- The Pointwise Ergodic Theorem and Its Consequences -- More Ergodic Theorems -- Measure Preserving Isomorphisms -- The Perron-Frobenius Operator -- Invariant Measures for Continuous Transformations -- Continued Fractions -- Entropy -- The Variational Principle -- Infinite Ergodic Theory

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.

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