Topics in dynamics and ergodic theory / Sergey Bezuglyi, Sergiy Kolyada.

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.

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.