{"product_id":"ergodic-theory-von-alex-blumenthal-und-lai-sang-young","title":"Ergodic Theory","description":"\n                                \n                \u003cp\u003eErgodic 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. \u003c\/p\u003e\n                                \n                \n                \u003cul\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \u003cstrong\u003ePart I\u003c\/strong\u003e\n                                                 (Chapters 1–7) lays the foundation, covering invariant measures, measure-theoretic isomorphisms, ergodicity, mixing, entropy, and culminating in the Shannon–McMillan–Breiman Theorem.\n                    \n                    \u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \u003cstrong\u003ePart II\u003c\/strong\u003e\n                                                 (Chapters 8–13) shifts focus to continuous maps of metric spaces, exploring the collection of invariant measures corresponding to a given map. \n                    \n                    \u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \u003cstrong\u003ePart III\u003c\/strong\u003e\n                                                 (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.\n                    \n                    \u003c\/li\u003e\n                                        \n                \n                \u003c\/ul\u003e\n                                \n                \n                \u003cp\u003eThroughout, 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.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783032088352\"\u003e\u003ch3\u003eA Probabilistic Approach to Dynamical Systems\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783032088352","offer_id":58232364892485,"sku":"9783032088352","price":64.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9054dc5f-8a4b-4657-ab0a-568d4de9f2ac.jpg?v=1781151747","url":"https:\/\/shop.autorenwelt.de\/products\/ergodic-theory-von-alex-blumenthal-und-lai-sang-young","provider":"Autorenwelt Shop","version":"1.0","type":"link"}