Young lai sang (12 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.…

Hardcover. Condizione: Brand New. 228 pages. 9.25x6.10x9.49 inches. In Stock.

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Paperback. Condizione: Brand New. 107 pages. 8.75x6.00x0.25 inches. In Stock.

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Buch. Condizione: Neu. Druck auf Anfrage 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 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.…

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.…

Condizione: New. Print on Demand.

Condizione: New. PRINT ON DEMAND.

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.…