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...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Cambridge
Cambridge University Press
2003
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Series: | London Mathematical Society lecture note series
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Subjects: | |
Online Access: | |
Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
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 |
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Physical Description: | viii, 262 pages digital |
ISBN: | 9780511546716 |