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  • Cited by 4
  • Edited by Sergey Bezuglyi, Institute of Low-Temperature Physics and Engineering, Kharkov, Ukraine, Sergiy Kolyada, National Academy of Sciences of Ukraine
Publisher:
Cambridge University Press
Online publication date:
August 2009
Print publication year:
2003
Online ISBN:
9780511546716

Book description

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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