Isbn: 9783032088352 - ergodic theory: a probabilistic approach to dynamical systems (texts in applied mathematics, 84) (6 Ergebnisse)

HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

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

Zustand: NEW.

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

Buch. Zustand: 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. …

Zustand: New.