Ergodic Theory

Name: Ergodic Theory
Brand: Springer-Verlag GmbH
SKU: 9783032088352
Price: 67.19 EUR
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Autor: Alex Blumenthal

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Väzba: Pevná

Vydavateľ: Springer-Verlag GmbH

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

Informácie o knihe

Autor

Alex Blumenthal

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2026

Stránok

172

EAN

9783032088352

ISBN

3032088356

Enbook ID

49653562

Vydavateľ

Springer-Verlag GmbH

Hmotnosť

467

Kompletný popis

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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