On the distribution of gaps for saddle connection directions

On the distribution of gaps for saddle connection directions

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Jayadev Athreya, University of Illinois, Urbana-Champaign
Fine Hall 401

In joint work with J. Chaika, we prove results on the distribution of gaps of angles between saddle connections on flat surfaces. Our techniques draw on the work of Marklof-Strombergsson on the periodic Lorentz gas and that of Eskin-Masur on flat surfaces. We describe some applications to billiards in polygons.