Description
PRE-ORDER NOW - Published: 30/05/2026
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.Binding: Hardback