HOROWITZ SEMINAR
PROBABILITY, ERGODIC THEORY and DYNAMICAL SYSTEMS
on Monday March 28th 2005
Nir Avni , (Hebrew U)
will speak
Ergodic theory of cross sections.
Abstract:
We generalize the notion of relative entropy to cross sections
of actions of continuous amenable group. This is used to study completely
positive entropy actions of amenable groups. In particular, to prove that
every such action is mixing of all orders and has countable Lebesgue
spectrum.
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Last update on 20/10/02.