Topics in dynamics and ergodic theory:

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey...

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Bibliographic Details
Main Author: Bezuglyi, Sergey 1954- (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 2003
Series:London Mathematical Society lecture note series 310
Subjects:
Online Access:BSB01
FHN01
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Summary:This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups
Item Description:Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:1 online resource (viii, 262 pages)
ISBN:9780511546716
DOI:10.1017/CBO9780511546716