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Randomness in Diophantine approximation

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

May 12, 2015 (09:30 AM PDT - 10:20 AM PDT)
Speaker(s): Alexander Gorodnik (University of Bristol)
Location: MSRI: Simons Auditorium



We discuss the problem of counting solutions of Diophantine inequalities. While a general asymptotic formula for the counting function has been established by W. Schmidt,  finer statistical properties of this function are still not well understood. We investigate its limiting distribution and establish the central limit theorem in this context. This is a joint work with Anish Ghosh.

23520?type=thumb Gorodnik Notes 213 KB application/pdf Download
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H.264 Video 14236.mp4 326 MB video/mp4 rtsp://videos.msri.org/data/000/023/442/original/14236.mp4 Download
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