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Topics in Dynamics and Ergodic Theory

Topics in Dynamics and Ergodic Theory

Paperback

Series: London Mathematical Society Lecture Note, Book 310

CalculusGeneral Mathematics

ISBN10: 0521533651
ISBN13: 9780521533652
Publisher: Cambridge
Published: Dec 8 2003
Pages: 270
Weight: 0.79
Height: 0.60 Width: 5.80 Depth: 8.80
Language: English
This collection of survey papers by leading researchers in ergodic theory and low-dimensional and topological dynamics 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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General Mathematics