{"product_id":"transfer-operators-endomorphisms-and-measurable-sergey-bezuglyi-9783319924168","title":"Transfer Operators, Endomorphisms, and Measurable Partitions","description":"The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the \"easier\" and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory.\u003cbr\u003e The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classes of operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sergey Bezuglyi,Palle E. T. Jorgensen\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319924168\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319924168\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/22\/2018\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 162\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.56lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.37d","brand":"Sergey Bezuglyi","offers":[{"title":"Paperback","offer_id":49148312682751,"sku":"9783319924168","price":44.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/transfer-operators-endomorphisms-and-measurable-sergey-bezuglyi-9783319924168","provider":"WR Book House","version":"1.0","type":"link"}