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Topics in dynamics and ergodic theory
Edited book

Topics in dynamics and ergodic theory

Sergey Bezuglyi and Sergiy Kolyada
London Mathematical Society lecture note series, 310, Cambridge University Press
2003
DOI: 10.1017/CBO9780511546716

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Abstract

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.
Ergodic theory Topological dynamics Congresses

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