Topics in dynamics and Ergodic theory

Sergey Bezuglyi, Sergiy Kolyada - Collection London Mathematical Society Student Texts

270 pages, parution le 15/12/2003

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Résumé

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.

Sommaire

Introductory talk at the opening of the conference Anatole M. Stepin
Minimal idempotents and ergodic Ramsey theory Vitaly Bergelson
Symbolic dynamics and topological models in dimensions 1 and 2 André de Carvalho and Toby Hall
Markov odometers Anthony H. Dooley
Geometric proofs of Mather's connecting and accelerating theorems Vadim Kaloshin
Structural stability in one dimensional dynamics Oleg Kozlovski
Periodic points of nonexpansive maps: a survey Bas Lemmens
Arithmetic dynamics Nikita Sidorov
The defect of factor maps and finite equivalence of dynamical systems Klaus Thomsen
Actions of amenable groups Benjamin Weiss.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Sergey Bezuglyi, Sergiy Kolyada
Collection	London Mathematical Society Student Texts
Parution	15/12/2003
Nb. de pages	270
Format	15 x 22,7
Couverture	Broché
Poids	367g
Intérieur	Noir et Blanc
EAN13	9780521533652
ISBN13	978-0-521-53365-2