Beck Recent Advances in Topological Dynamics

Proceedings of the Conference on Topological Dynamics, Held at Yale University 1972, in Honor of Gustav Arnold Hedlund on the Occasion of his Retirement
Erscheinungsjahr 2006
ISBN: 978-3-540-38414-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 318, 290 Seiten, eBook

Reihe: Lecture Notes in Mathematics

Zielgruppe

Research

Autoren/Hrsg.

Beck, A.

Inhaltsverzeichnis

F-expansions revisited.- Non-compact dynamical systems.- Ergodic G-induced flows on compact solvmanifolds.- Products of semi-dynamical systems.- Uniqueness of flow solutions of differential equations.- Symbolic dynamics for hyperbolic systems.- Monothetic automorphisms of a compact abelian group.- On the embedding problem and the Hilbert-Smith conjecture.- A group associated with an extension.- The unique ergodigity of the horocycle flow.- How should we define topological entropy?.- Some general dynamical notions.- Group-like decompositions of Riemannian bundles.- Non-minimality of 3-Manifolds.- Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing.- Locally connected almost periodic minimal sets.- Choquet theory and ergodic measures for compact group extensions.- The intermediate transformation groups.- The structure of compact connected groups which admit an expansive automorphism.- Characteristic sequences.- Relative equicontinuity and its variations.- Approximation by measure-preserving homeomorphisms.- Class properties of dynamical systems.- Spectra of induced transformations.- Asymptotic cycles for discrete flows.- Abelian semi-groups of expanding maps.- Irregularities of distribution in dynamical systems.- Minimal sets and Souslin sets.- Some results on the classification of non-invertible measure preserving transformations.- Groups of measure preserving transformations.- Classification of subshifts of finite type.