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Ergodic Theory

Language EnglishEnglish
Book Hardback
Book Ergodic Theory Alex Blumenthal
Libristo code: 49653562
Publishers Springer-Verlag GmbH, March 2026
Ergodic theory provides a powerful lens for understanding dynamical systems, recasting disordered an... Full description
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Ergodic theory provides a powerful lens for understanding dynamical systems, recasting disordered and seemingly random behavior in the language of probability theory. This book offers a concise, rigorous introduction to the subject, suitable both as a graduate-level textbook and as a reference for both pure and applied mathematicians. 

  • Part I (Chapters 1 7) lays the foundation, covering invariant measures, measure-theoretic isomorphisms, ergodicity, mixing, entropy, and culminating in the Shannon McMillan Breiman Theorem.
  • Part II (Chapters 8 13) shifts focus to continuous maps of metric spaces, exploring the collection of invariant measures corresponding to a given map. 
  • Part III (Chapters 14 16) presents advanced topics rarely found in textbooks at this level, including SRB measures, their deep connection to entropy and Lyapunov exponents, and extensions to two important settings: random and infinite-dimensional dynamical systems.

Throughout, the authors emphasize not only the mathematical elegance of ergodic theory but also its practical relevance and rich connections to other areas of mathematics, from information theory to stochastic processes.

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About the book

Full name Ergodic Theory
Language English
Binding Book - Hardback
Date of issue 2026
Number of pages 172
EAN 9783032088352
ISBN 3032088356
Libristo code 49653562
Weight 467
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