Topics in Dynamics and Ergodic Theory
(Book #310 in the London Mathematical Society Lecture Note Series)
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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.
Format:Paperback
Language:English
ISBN:0521533651
ISBN13:9780521533652
Release Date:December 2003
Publisher:Cambridge University Press
Length:270 Pages
Weight:0.79 lbs.
Dimensions:0.6" x 5.8" x 8.8"
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