Topics in dynamics and ergodic theory
著者
書誌事項
Topics in dynamics and ergodic theory
（London Mathematical Society lecture note series, 310）
Cambridge University Press, 2003
- : pbk
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注記
"An International Conference and US-Ukrainian Workshop 'Dynamical Systems and Ergodic Theory' were held in Katsiveli (Crimea, Ukraine) during the period 21-30 August, 2000. The meeting which was dedicated to the memory of one of the best lecturers of the Katsiveli's schools - Vladimir Mikhaǐlovich Alexeyev ..."--Pref
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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.
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