Mathematics-Dynamical Systems

Topics in dynamics and ergodic theory

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Title (user) : Topics in dynamics and ergodic theoryISBN : 9780521533652,0521533651,9780511065569GoogleBook ID : Lsg4CQ5WhdoCOpenLibrary ID : OL7745032MSeries : London Mathematical Society lecture note series 310Authors (user) : Sergey Bezuglyi, Sergiy KolyadaAuthors (google)...
Description

Title (user) : Topics in dynamics and ergodic theory

ISBN : 9780521533652,0521533651,9780511065569

GoogleBook ID : Lsg4CQ5WhdoC

OpenLibrary ID : OL7745032M

Series : London Mathematical Society lecture note series 310

Authors (user) : Sergey Bezuglyi, Sergiy Kolyada

Authors (google) : Sergey Bezuglyi,Sergiy Kolyada

Publisher : Cambridge University Press

Language : English

Publication Date : 2003

File Format : pdf

Categories : Mathematics


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Description (user) :
This collection of survey papers by leading researchers in ergodic theory and low-dimensional and topological dynamics 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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Description (google) :
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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