Transfer Operators, Endomorphisms, and Measurable Partitions

Name: Transfer Operators, Endomorphisms, and Measurable Partitions
Brand: Springer
Availability: OutOfStock
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By Sergey Bezuglyi

0 - Default Title

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.

Product details

Binding:

Paperback

Edition:

1

Number of Pages:

172

Release Date:

2018-06-22

Publication Date:

2018-06-22

Publisher:

Springer

Languages:

Original: English

ISBN10:

3319924168

ISBN13:

9783319924168

GPSR Manufacturer Reference:

[email protected]

Weight:

271 g

Height:

155 cm

Width:

235 cm

Thickness:

10 cm

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