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Genericity along curves and applications

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 12, 2015 (11:00 AM PDT - 11:50 AM PDT)
Speaker(s): Corinna Ulcigrai (University of Bristol)
Location: MSRI: Simons Auditorium



We will present two results in mathematical physics which can be obtained as applications of a result in homogeneous dynamics. The applications concern the dynamics in a class of pseudo-integrable billiards in ellipses and the behaviour of light rays in arrays of Eaton lenses. They are based on an equidistribution result in the space of affine lattices, that guarantees that typical points on certain curves are Birkhoff generic for the geodesic flow. For the Eaton lenses application we also prove an Oseledets genericity result which generalizes in this set up a recent result by Eskin and Chaika. The talk is based on joint work with Krzysztof Fraczek and Ronggang Shi. 

23521?type=thumb Ulcigrai Notes 155 KB application/pdf Download
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