Topics in dynamics and ergodic theory
Sergey Bezuglyi, Sergiy Kolyada
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.
კატეგორია:
წელი:
2003
გამომცემლობა:
Cambridge University Press
ენა:
english
გვერდები:
272
ISBN 10:
0521533651
ISBN 13:
9780521533652
სერია:
London Mathematical Society lecture note series 310
ფაილი:
PDF, 1.83 MB
IPFS:
,
english, 2003