Transfer Operators, Endomorphisms, and Measurable Partitions Paperback / softback
by Sergey Bezuglyi, Palle E. T. Jorgensen
Part of the Lecture Notes in Mathematics series
Paperback / softback
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:162 pages, 7 Illustrations, black and white; X, 162 p. 7 illus.
- Publisher:Springer International Publishing AG
- Publication Date:22/06/2018
- Category:
- ISBN:9783319924168
Information
-
Out of stock
- Format:Paperback / softback
- Pages:162 pages, 7 Illustrations, black and white; X, 162 p. 7 illus.
- Publisher:Springer International Publishing AG
- Publication Date:22/06/2018
- Category:
- ISBN:9783319924168
