9783032088352 - ergodic theory: a probabilistic approach to dynamical systems: 84 di blumenthal, alex; young, lai-sang (14 risultati)
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Hardback. Condizione: New. 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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Hardback. Condizione: New. 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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Buch. Condizione: 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 b…oth 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.
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg 236 pp. Englisch.
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Buch. Condizione: 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]sprin…ger[dot]com | Anbieter: preigu Print on Demand.
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Buch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 a…s 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.
