TY  - BOOK
AU  - Bezuglyi,Sergey
AU  - Kolyada,Sergiy
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
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
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  - http://dx.doi.org/10.1017/CBO9780511546716
ER  -