TY - BOOK ID - 77861850 TI - Topics in dynamics and ergodic theory AU - Bezuglyi, Sergey AU - Koli︠a︡da, S F PY - 2003 SN - 1107126835 1280414723 9786610414727 051130837X 0511169523 0511065566 0511205473 0511546718 0511067690 9780511065569 9780511067693 9780511546716 9780521533652 0521533651 9781280414725 0521533651 PB - Cambridge Cambridge University Press DB - UniCat KW - Ergodic theory. KW - Topological dynamics. KW - Geometry KW - Mathematics KW - Physical Sciences & Mathematics KW - Ergodic theory KW - Topological dynamics KW - Dynamics, Topological KW - Differentiable dynamical systems UR - https://www.unicat.be/uniCat?func=search&query=sysid:77861850 AB - 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. ER -