{"product_id":"9789819563890","title":"Topological Dynamics from a Measure-Theoretic Viewpoint","description":"\u003ch3\u003eSpringer Asia Pacific Mathematics Series\u003c\/h3\u003e\u003ch1\u003eTopological Dynamics from a Measure-Theoretic Viewpoint\u003c\/h1\u003e\u003ch3\u003eKeonhee Lee | Carlos Morales | Ngocthach Nguyen\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNormal\"\u003eThis book introduces a new measurable perspective on dynamical systems by connecting concepts from topological dynamics with their measure-theoretic counterparts. A central theme is the translation of topological notions into measurable ones. For example, minimality in topological dynamics suggests a measurable analogue in ergodicity, where every invariant measurable set has either zero or full measure, offering an intuitive parallel between the two settings. Likewise, the notion of expansiveness is reinterpreted through expansive measures, in which almost all orbits separate beyond a fixed radius. These measurable analogues extend naturally to homeomorphisms and flows on compact metric spaces, which are explored in depth in Chapters 3 and 7.\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003eBuilding on this framework, the book develops measurable versions of several structural results from topological dynamics. Walters’ stability theorem-grounded in shadowing, expansiveness, and topological stability-is revisited in Chapters 4 and 8 from a measurable perspective, while Smale’s spectral decomposition theorem is reformulated in measurable terms in Chapters 5 and 9. By bridging topological and measurable viewpoints, the book offers a cohesive approach that provides new insights and directions for the study of dynamical systems.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNormal\"\u003eKeonhee Lee is a professor emeritus of Chungnam National University.\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003eCarlos Arnoldo Morales Rojas is a researcher at Beihang University.\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003eNgocthach Nguyen is a lecturer of the University of Danang.\u003c\/p\u003e\r\n\u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e12 May 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Singapore\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\u003e9789819563890\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\u003e178\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":45228465684620,"sku":"9789819563890","price":125.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789819563890.jpg?v=1780603104","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789819563890","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}