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Viac informácií o knihe Transfer Operators, Endomorphisms, and Measurable Partitions

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Anotácia knihy

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 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Transfer Operators, Endomorphisms, and Measurable Partitions
• Autor: Sergey Bezuglyi, Palle Jorgensen
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 162
• EAN: 9783319924168
• ISBN: 3319924168
• ID: 19382004
• Nakladateľ: Springer International Publishing AG
• Hmotnosť: 272 g
• Rozmery: 156 × 234 × 13 mm
• Dátum vydania: 22. June 2018

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