Transfer Operators Endomorphisms and Measurable Partitions is popular PDF and ePub book, written by Sergey Bezuglyi in 2018-06-21, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Transfer Operators Endomorphisms and Measurable Partitions can be Read Online from any device for your convenience.
Transfer Operators Endomorphisms and Measurable Partitions Book PDF Summary
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.
Detail Book of Transfer Operators Endomorphisms and Measurable Partitions PDF
- Author : Sergey Bezuglyi
- Release : 21 June 2018
- Publisher : Springer
- ISBN : 9783319924175
- Genre : Mathematics
- Total Page : 167 pages
- Language : English
- PDF File Size : 11,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Transfer Operators Endomorphisms and Measurable Partitions by Sergey Bezuglyi, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.