Topics in Dynamics and Ergodic Theory / Topics in Dynamics & Ergodic Theory Edited by Sergey Bezuglyi, Sergiy Kolyada. - Cambridge : Cambridge University Press, 2003. - 1 online resource (270 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 310 . - London Mathematical Society Lecture Note Series ; no. 310. .

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

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.

9780511546716 (ebook)

QA611.5 / .B49 2003

515/.48
The Institute of Mathematical Sciences, Chennai, India

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