Endomorphisms and Measurable Partitions

Sergey Bezuglyi; Palle E. T Jorgensen

doi:10.1007/978-3-319-92417-5_2

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Endomorphisms and Measurable Partitions

Sergey Bezuglyi and Palle E. T Jorgensen

Transfer Operators, Endomorphisms, and Measurable Partitions, pp.13-21

Lecture Notes in Mathematics, Springer International Publishing

06/22/2018

DOI: 10.1007/978-3-319-92417-5_2

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Abstract

In this chapter, we collect definitions and some basic facts about the underlying spaces, endomorphisms, measurable partitions, etc., which are used throughout the book. Though these notions are known in ergodic theory, we discuss them for the reader’s convenience.

Endomorphism

Measurable partitions

Polish space

Radon-Nikodym derivative

Sigma-algebra of Borel sets

Solenoids

Standard measure space

Details

Title: Subtitle: Endomorphisms and Measurable Partitions
Creators: Sergey Bezuglyi - University of Iowa
Palle E. T Jorgensen - University of Iowa
Resource Type: Book chapter
Publication Details: Transfer Operators, Endomorphisms, and Measurable Partitions, pp.13-21
Series: Lecture Notes in Mathematics
DOI: 10.1007/978-3-319-92417-5_2
eISSN: 1617-9692
ISSN: 0075-8434
Publisher: Springer International Publishing; Cham
Language: English
Date published: 06/22/2018
Academic Unit: Mathematics
Record Identifier: 9984240864502771

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