HOROWITZ SEMINAR

PROBABILITY, ERGODIC THEORY and DYNAMICAL SYSTEMS

Gernot Greschonig (Vienna)

will speak on

Real extensions of distal minimal flows and continuous topological ergodic decompositions

ABSTRACT:
The talk presents a structure theorem for topologically recurrent real skew product
extensions of distal minimal compact metric flows with a compactly generated Abelian transformation group (e.g. Z^d -flows and R^d -flows).

The main result states that every such extension can be represented by a perturbation of a Rokhlin skew product.

With this structure theorem we can construct a topological ergodic decomposition of the skew product which is continuous and compact with respect to the Fell topology.

To suggest a talk (yours, or someone elses), contact Jon. Aaronson: aaro at post dot tau dot ac dot il

Back to: Jon Aaronson's homepage.