Name: Transfer Operators, Endomorphisms, and Measurable Partitions (Lecture Notes in Mathematics) (en Inglés)
Price: 268122.00 COP
Availability: InStock
Author: Sergey Bezuglyi
ISBN: 9783319924168

portada Transfer Operators, Endomorphisms, and Measurable Partitions (Lecture Notes in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Sergey Bezuglyi

Año

2018

Idioma

Inglés

N° páginas

172

Encuadernación

Tapa Blanda

ISBN13

9783319924168

N° edición

Categorías

Software de matemáticas y estadísticas

Transfer Operators, Endomorphisms, and Measurable Partitions (Lecture Notes in Mathematics) (en Inglés)

Sergey Bezuglyi (Autor) · Springer · Tapa Blanda

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Reseña del libro "Transfer Operators, Endomorphisms, and Measurable Partitions (Lecture Notes in Mathematics) (en Inglés)"

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.