Published by Berlin: Hermann Schroedel, 1958
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Language: English
Published by Springer Nature Switzerland AG Mai 2026, 2026
ISBN 10: 3032088356 ISBN 13: 9783032088352
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Ergodic theory provides a powerful lens for understanding dynamical systems, recasting disordered and seemingly random behavior in thelanguage ofprobabilitytheory. This book offers aconcise, rigorousintroduction to the subject, suitable both as a graduate-level textbook and as a reference for both pureand 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, exploringthe collection ofinvariant measurescorresponding to a given map.Part III(Chapters14 16) presents advanced topics rarely foundin textbooks atthis level, including SRB measures, their deep connection to entropy and Lyapunov exponents, and extensions totwoimportant settings:random and infinite-dimensionaldynamical 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. 209 pp. Englisch.
Language: English
Published by Springer Verlag GmbH, 2026
ISBN 10: 3032088356 ISBN 13: 9783032088352
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Buch. Condition: Neu. Ergodic Theory | A Probabilistic Approach to Dynamical Systems | Alex Blumenthal (u. a.) | Buch | Texts in Applied Mathematics | xix | Englisch | 2026 | Springer | EAN 9783032088352 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.