[share_ebook] Topics in Dynamics and Ergodic Theory (London Mathematical Society Lecture Note Series)


Author: Sergey Bezuglyi, Sergiy Kolyada

Date: 2003

Pages: 270

Publisher: Cambridge University Press

Category: Study

Tag: Mathematics


Posted on 2011-12-29, by sharebookfree.

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Topics in Dynamics and Ergodic Theory (London Mathematical Society Lecture Note Series)


Topics in Dynamics and Ergodic Theory (London Mathematical Society Lecture Note Series)
Sergey Bezuglyi, Sergiy Kolyada | Cambridge University Press | 2003 | 270 | English | PDF

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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