{"product_id":"bezuglyi-sergey-transfer-operators-endomorphisms-and-measurable-partitions-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. The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classesof 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.","brand":"Springer","offers":[{"title":"Default Title","offer_id":53625247400278,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9783319924168_1.jpg?v=1778631576","url":"https:\/\/www.momoxbooks.com\/products\/bezuglyi-sergey-transfer-operators-endomorphisms-and-measurable-partitions-9783319924168","provider":"momoxbooks","version":"1.0","type":"link"}