BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Sums of excursions along random Teichmuller geodesics and volume a
 symptotics in the moduli space of quadratic differentials - Vaibhav Gadre\
 , Warwick
DTSTART:20150211T160000Z
DTEND:20150211T170000Z
UID:TALK56167@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:For a non-uniform lattice in SL(2\,R) we prove a strong law fo
 r a certain partial sum expressed in terms of excursions of a random geode
 sic in cusp neighborhoods of the quotient hyperbolic surface/orbifold. Thi
 s generalizes the theorem by Diamond and Vaaler that for a Lebesgue typica
 l number in (0\,1) the sum of the first n continued fraction coefficients 
 minus the largest coefficient is asymptotic to n log n/ log 2. We also sho
 w that a similar strong law holds along SL(2\,R) orbit closures (shown to 
 be affine invariant submanifolds by Eskin-Mirzakhani and Eskin-Mirzakhani-
 Mohammadi) in the moduli space of quadratic differentials. 
LOCATION:MR13
END:VEVENT
END:VCALENDAR