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Gap Distributions, Homogeneous Dynamics, and Random Lattices

Presented by: 
J Athreya University of Illinois
Date: 
Monday 30th June 2014 - 09:00 to 09:50
Venue: 
INI Seminar Room 1
Abstract: 
We discuss the connections between cusp excursions of the horocycle flow, random lattices, and gap distributions between Farey fractions, and show how some aspects of this picture can be generalized to the setting of translation surfaces.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons