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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Topics in Dynamics and Ergodic Theory
• Author: Sergey BezuglyiSergiy Kolyada
• Language: English
• Binding: Paperback
• Number of pages: 270
• EAN: 9780521533652
• ISBN: 0521533651
• ID: 02034133
• Publisher: Cambridge University Press
• Weight: 375 g
• Dimensions: 228 × 152 × 17 mm
• Date of publishing: 08. December 2003

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