Recent Advances in Topological Dynamics

Inhalt
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.