
Topics in Dynamics and Ergodic Theory
Cambridge University Press
Published on 8. December 2003
Book
Paperback/Softback
270 pages
978-0-521-53365-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises; 4 Tables, unspecified; 23 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 15 mm
Weight
399 gr
ISBN-13
978-0-521-53365-2 (9780521533652)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Sergey Bezuglyi | Sergiy Kolyada
Topics in Dynamics and Ergodic Theory
E-Book
12/2004
1st Edition
Cambridge University Press
€61.99
Available for download
Persons
Editor
Institute of Low-Temperature Physics and Engineering, Kharkov, Ukraine
National Academy of Sciences of Ukraine
Content
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 Andre 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.