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Topics in Dynamics and Ergodic Theory

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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.
Release date NZ
December 8th, 2003
Audience
  • Professional & Vocational
Contributors
  • Edited by Sergey Bezuglyi
  • Edited by Sergiy Kolyada
Illustrations
Worked examples or Exercises; 4 Tables, unspecified; 23 Line drawings, unspecified
Pages
270
Dimensions
152x228x17
ISBN-13
9780521533652
Product ID
1770585

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