Topics in Dynamics and Ergodic Theory

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.

Author: Sergey Bezuglyi
Publisher: Cambridge University Press
Published: 12/08/2003
Pages: 270
Binding Type: Paperback
Weight: 0.79lbs
Size: 8.80h x 5.80w x 0.60d
ISBN: 9780521533652