Transfer Operators, Endomorphisms, and Measurable Partitions

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Transfer Operators, Endomorphisms, and Measurable Partitions by Sergey Bezuglyi, Palle E. T. Jorgensen, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sergey Bezuglyi, Palle E. T. Jorgensen ISBN: 9783319924175
Publisher: Springer International Publishing Publication: June 21, 2018
Imprint: Springer Language: English
Author: Sergey Bezuglyi, Palle E. T. Jorgensen
ISBN: 9783319924175
Publisher: Springer International Publishing
Publication: June 21, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Electronic Components and Systems for Automotive Applications by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Active Particles, Volume 1 by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Stochastic Equations for Complex Systems by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Lecture Notes on Wavelet Transforms by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book The Biblical Accommodation Debate in Germany by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Modern Problems in Applied Analysis by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book RNA Therapeutics by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Sustainable Supply Chains by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Recombinant Antibodies for Infectious Diseases by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Robust Speaker Recognition in Noisy Environments by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Supply Chain Cases by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Using Mobile Technologies in the Teaching and Learning of Mathematics by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Challenges in Automation, Robotics and Measurement Techniques by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Claudio Moraga: A Passion for Multi-Valued Logic and Soft Computing by Sergey Bezuglyi, Palle E. T. Jorgensen
Cover of the book Higher Education and Development in Africa by Sergey Bezuglyi, Palle E. T. Jorgensen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy