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Ergodic Theory

Name: Ergodic Theory
Brand: Springer-Verlag GmbH
SKU: 49653562
Price: 60.32 EUR
Availability: InStock
Author: Alex Blumenthal
ISBN: 9783032088352

Alex Blumenthal

Language

English

Book Hardback

Libristo code: 49653562

Publishers Springer-Verlag GmbH, March 2026

Ergodic theory provides a powerful lens for understanding dynamical systems, recasting disordered an... Full description

Libristo code: 49653562

147 b

60.32 €

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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.