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DTSTAMP:20120126T230902Z
DTSTART;TZID=America/Los_Angeles:20120202T161000
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TRANSP:OPAQUE
SUMMARY:Absolute continuity\, exponents\, and rigidity
UID:51952-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:60 Evans Hall
DESCRIPTION:Amie Wilkinson\, University of Chicago\n\nThe geodesics in a compact surface of negative curvature display stability properties originating in the chaotic\, hyperbolic nature of the geodesic flow on the associated unit tangent bundle. Considered as a foliation of this bundle\, this collection of geodesics persists in a strong way when one perturbs of the Riemannian metric\, or the geodesic flow generated by this metric\, or even the time-one map of this flow: for any perturbed system there is a corresponding "shadow foliation" with one-dimensional smooth leaves that is homeomorphic to the original geodesic foliation. A counterpart to this foliation stability is a curious rigidity phenomenon that arises when one studies the disintegration of volume along the leaves of this perturbed shadow foliation. I will describe this phenomenon and its underlying causes. This is recent work with Artur Avila and Marcelo Viana.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=51952&view=preview
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