{"product_id":"transfer-operators-endomorphisms-and-measurable-partitions-von-palle-e-t-jorgensen-und-sergey-bezuglyi","title":"Transfer Operators, Endomorphisms, and Measurable Partitions","description":"\n                                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.\n                \n                \u003cbr\u003e\n                                      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.\n            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319924168\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783319924168","offer_id":40610968469597,"sku":"9783319924168","price":42.79,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/0950c8f2-0f28-45fc-a205-adda5ad845c1.jpg?v=1772085040","url":"https:\/\/shop.autorenwelt.de\/products\/transfer-operators-endomorphisms-and-measurable-partitions-von-palle-e-t-jorgensen-und-sergey-bezuglyi","provider":"Autorenwelt Shop","version":"1.0","type":"link"}