Topics in Dynamics and Ergodic Theory
Topics in Dynamics and Ergodic Theory
Sergiy Kolyada, National Academy of Sciences of Ukraine
£54.99
GBPThis 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.
- Contains survey articles addressed to a wide range of mathematicians
- Nice, detailed exposition of new ideas and results
- The reader has an opportunity to become acquainted with new directions in ergodic theory, topological and symbolic dynamics
Product details
December 2003Paperback
9780521533652
270 pages
228 × 152 × 17 mm
0.375kg
23 b/w illus. 4 tables 20 exercises
Available
Table of Contents
- 1. Introductory talk at the opening of the conference Anatole M. Stepin
- 2. Minimal idempotents and ergodic Ramsey theory Vitaly Bergelson
- 3. Symbolic dynamics and topological models in dimensions 1 and 2 André de Carvalho and Toby Hall
- 4. Markov odometers Anthony H. Dooley
- 5. Geometric proofs of Mather's connecting and accelerating theorems Vadim Kaloshin
- 6. Structural stability in one dimensional dynamics Oleg Kozlovski
- 7. Periodic points of nonexpansive maps: a survey Bas Lemmens
- 8. Arithmetic dynamics Nikita Sidorov
- 9. The defect of factor maps and finite equivalence of dynamical systems Klaus Thomsen
- 10. Actions of amenable groups Benjamin Weiss.
