Overview
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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Details
- ISBN-13: 9780521533652
- ISBN-10: 0521533651
- Publisher: Cambridge University Press
- Publish Date: December 2003
- Dimensions: 8.8 x 5.8 x 0.6 inches
- Shipping Weight: 0.79 pounds
- Page Count: 270
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