Gernot Greschonig
Reflections on equicontinuity.
Mon, 12/12/2011 - 15:01 — SomNambulAuthors: Gernot Greschonig, Joseph Auslander, Anima Nagar
Subjects: Dynamical Systems
AbstractWe study different conditions which turn out to be equivalent to
equicontinuity for a transitive compact Hausdorff flow with a general group
action. Among them are a notion of "regional" equicontinuity, also known as
"Furstenberg" condition, and the condition that every point of the phase space
is almost automorphic. Then we study relations on the phase space arising from
dynamical properties, among them the regionally proximal relation and two
relations introduced by Veech.- Read more
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On real extensions of distal minimal homeomorphisms.
Wed, 09/02/2009 - 12:02 — SomNambulAuthors: Gernot Greschonig
Subjects: Dynamical Systems
AbstractWe prove a structure theorem for topologically conservative real skew product
extensions of distal minimal compact metric $\Z$-flows. The main result states
that every such extension can be represented by a perturbation of a Rokhlin
skew product. Moreover, we give certain counterexamples to point out that all
components of the construction are in fact inevitable.On real extensions of distal minimal homeomorphisms.
Wed, 09/02/2009 - 12:02 — SomNambulAuthors: Gernot Greschonig
Subjects: Dynamical Systems
AbstractWe prove a structure theorem for topologically conservative real skew product
extensions of distal minimal compact metric $\Z$-flows. The main result states
that every such extension can be represented by a perturbation of a Rokhlin
skew product. Moreover, we give certain counterexamples to point out that all
components of the construction are in fact inevitable.
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