Topics in dynamics and ergodic theory

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Topics in dynamics and ergodic theory

Topics in dynamics and ergodic theory

Name: Topics in dynamics and ergodic theory
ISBN: 9780521533652

Sergey Bezuglyi, Sergiy Kolyada

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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.

श्रेणियाँ:

Mathematics

सामग्री का प्रकार:

पुस्तकें

साल:

2003

प्रकाशन:

Cambridge University Press

भाषा:

english

पृष्ठ:

272