Combinatorial Constructions in Ergodic Theory and Dynamics

Language: English

Published by American Mathematical Society, US, 2003

0821834967 / 9780821834961

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Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intrinsically infinite, and the notion of an individual point or of an orbit makes no sense. Still there are a variety of situations when a measure-preserving transformation (and its asymptotic behavior) can be well described as a limit of certain finite objects (periodic processes). The first part of this book develops this idea systematically. Genericity of approximation in various categories is explored, and numerous applications are presented, including spectral multiplicity and properties of the maximal spectral type.The second part of the book contains a treatment of various constructions of cohomological nature with an emphasis on obtaining interesting asymptotic behavior from approximate pictures at different time scales. The book presents a view of ergodic theory not found in other expository sources. It is suitable for graduate students familiar with measure theory and basic functional analysis.…

Seller Inventory # LU-9780821834961

Title
Combinatorial Constructions in Ergodic Theory and Dynamics
Author
Anatole Katok
Publisher
American Mathematical Society, US
Publication year
2003
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821834967
ISBN 13
9780821834961
Item weight
255 grams
Dimensions
17.78 x 1.27 x 24.77 cm

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