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

Bezuglyi, Sergey, 1954-
Call Number
515/.48
Author
Bezuglyi, Sergey, 1954- author.
Title
Topics in dynamics and ergodic theory / Sergey Bezuglyi, Sergiy Kolyada.
Topics in Dynamics & Ergodic Theory
Physical Description
1 online resource (viii, 262 pages) : digital, PDF file(s).
Series
London Mathematical Society lecture note series ; 310
Notes
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents
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.
Summary
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.
Added Author
Koli︠a︡da, S. F., author.
Subject
Ergodic theory Congresses.
Topological dynamics Congresses.
Multimedia
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$a 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.
520
$a 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.
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No Reviews to Display
Summary
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.
Notes
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents
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.
Subject
Ergodic theory Congresses.
Topological dynamics Congresses.
Multimedia