TY  - BOOK
AU  - Bezuglyi,Sergey
AU  - Koli︠a︡da,S.F.
TI  - Topics in dynamics and ergodic theory
T2  - London Mathematical Society lecture note series
SN  - 9780511546716 (ebook)
AV  - QA611.5 .B49 2003
U1  - 515/.48 22
PY  - 2003///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Ergodic theory
KW  - Congresses
KW  - Topological dynamics
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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 / Andre 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511546716
ER  -