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Homogeneous flows and the statistics of directions

Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics February 02, 2015 - February 06, 2015

February 02, 2015 (09:15 AM PST - 10:30 AM PST)
Speaker(s): Jens Marklof (University of Bristol)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Over the past three decades, the ergodic theory for flows on homogeneous spaces has produced many beautiful applications in number theory, geometry and mathematical physics. In these lectures I will provide an introduction to equidistribution theorems for large spheres and horospheres, and explain their very recent application to directional statistics for lattices, quasicrystals and other aperiodic point sets. These lectures are introductory and aimed at a non-specialist mathematical audience. Much of the material is based on joint work with A. Strombergsson, D. El-Baz and I. Vinogradov.

23236?type=thumb Marklof Notes 490 KB application/pdf Download
Video/Audio Files


H.264 Video 14155.mp4 444 MB video/mp4 rtsp://videos.msri.org/data/000/022/782/original/14155.mp4 Download
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