Topics in Dynamics and Ergodic Theory (London Mathematical Society Lecture Note Series)
Contributors: Sergey Bezuglyi (Editor); Sergiy Kolyada (Editor)
Publisher: Cambridge University Press
Published: December 8, 2003
Language: eng
Format: Paperback
Number of pages: 270
ISBN-13: 9780521533652
Subjects: Differential Equations; Non-linear science; Mathematics; Science/Mathematics; Calculus; Mathematics / General; Congresses; General; Ergodic theory; Topological dynamics
First sentence: Dear colleagues and friends! This conference is devoted to the memory of Vladimir Mikhaylovich Alexeyev, professor of the Moscow State University, who untimely passed away in 1980.
Description: 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.