Topics in Dynamics and Ergodic Theory / Edited by Sergey Bezuglyi, Sergiy Kolyada.

Contributor(s): Bezuglyi, Sergey [editor of compilation.] | Kolyada, Sergiy [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 310Publisher: Cambridge : Cambridge University Press, 2003Description: 1 online resource (270 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511546716 (ebook)Other title: Topics in Dynamics & Ergodic TheoryAdditional physical formats: Print version: : No titleDDC classification: 515/.48 LOC classification: QA611.5 | .B49 2003Online resources: Click here to access online 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.
Item type: E-BOOKS
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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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