{"product_id":"9783032088352","title":"Ergodic Theory A Probabilistic Approach to Dynamical Systems","description":"\u003ch3\u003eTexts in Applied Mathematics\u003c\/h3\u003e\u003ch1\u003eErgodic Theory\u003c\/h1\u003e\u003ch2\u003eA Probabilistic Approach to Dynamical Systems\u003c\/h2\u003e\u003ch3\u003eAlex Blumenthal | Lai-Sang Young\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNormal\"\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\r\n\u003cul style=\"margin-top: 0in;\" type=\"disc\"\u003e\r\n\u003cli class=\"MsoNormal\" style=\"mso-list: l0 level1 lfo1; tab-stops: list .5in;\"\u003e\n\u003cstrong\u003e\u003cspan style=\"mso-fareast-font-family: 'Times New Roman';\"\u003ePart I\u003c\/span\u003e\u003c\/strong\u003e\u003cspan style=\"mso-fareast-font-family: 'Times New Roman';\"\u003e (Chapters 1–7) lays the foundation, covering invariant measures, measure-theoretic isomorphisms, ergodicity, mixing, entropy, and culminating in the Shannon–McMillan–Breiman Theorem.\u003c\/span\u003e\n\u003c\/li\u003e\r\n\u003cli class=\"MsoNormal\" style=\"mso-list: l0 level1 lfo1; tab-stops: list .5in;\"\u003e\n\u003cstrong\u003e\u003cspan style=\"mso-fareast-font-family: 'Times New Roman';\"\u003ePart II\u003c\/span\u003e\u003c\/strong\u003e\u003cspan style=\"mso-fareast-font-family: 'Times New Roman';\"\u003e (Chapters 8–13) shifts focus to continuous maps of metric spaces, exploring the collection of invariant measures corresponding to a given map. \u003c\/span\u003e\n\u003c\/li\u003e\r\n\u003cli class=\"MsoNormal\" style=\"mso-list: l0 level1 lfo1; tab-stops: list .5in;\"\u003e\n\u003cstrong\u003e\u003cspan style=\"mso-fareast-font-family: 'Times New Roman';\"\u003ePart III\u003c\/span\u003e\u003c\/strong\u003e\u003cspan style=\"mso-fareast-font-family: 'Times New Roman';\"\u003e (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.\u003c\/span\u003e\n\u003c\/li\u003e\r\n\u003c\/ul\u003e\r\n\u003cp\u003e\u003cspan style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"\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\/span\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003eLai-Sang Young is a \u003cspan style=\"font-size: 12.0pt; font-family: 'Aptos',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Aptos; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"\u003eProfessor of Mathematics at New York University and the Moses Professor of Science\u003c\/span\u003e. Born in Hong Kong, she is an American mathematician whose work spans dynamical systems theory, mathematical physics, and computational neuroscience. Her recent honors include delivering a plenary lecture at the International Congress of Mathematicians (2018), election to the U.S. National Academy of Sciences (2020), the SIAM Juergen Moser Award for nonlinear sciences (2021), and the Rolf Schock Prize in Mathematics (2024).\u003cbr\u003e \u003cbr\u003eAlex Blumenthal is an Associate Professor of Mathematics at the Georgia Institute of Technology. An American mathematician, he works at the interface of ergodic theory, random dynamical systems, and fluid mechanics. His recent honors include an NSF CAREER Award (2023–2028) and a Sloan Research Fellowship (2024).\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e19 May 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032088352\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e209\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44499587793036,"sku":"9783032088352","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032088352.jpg?v=1781056843","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032088352","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}