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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Transfer Operators, Endomorphisms, and Measurable Partitions

Transfer Operators, Endomorphisms, and Measurable Partitions

Bezuglyi, Sergey
Jorgensen, Palle E. T.

Paperback

Series: Lecture Notes in Mathematics, Book 2217

ApplicationsGeneral Mathematics

ISBN10: 3319924168
ISBN13: 9783319924168
Publisher: Springer Nature
Published: Jun 22 2018
Pages: 162
Weight: 0.56
Height: 0.37 Width: 6.14 Depth: 9.21
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.

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