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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Sums of excursions along random Teichmuller geodes
ics and volume asymptotics in the moduli space of
quadratic differentials - Vaibhav Gadre\, Warwick
DTSTART;TZID=Europe/London:20150211T160000
DTEND;TZID=Europe/London:20150211T170000
UID:TALK56167AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/56167
DESCRIPTION:For a non-uniform lattice in SL(2\,R) we prove a s
trong law for a certain partial sum expressed in t
erms of excursions of a random geodesic in cusp ne
ighborhoods of the quotient hyperbolic surface/orb
ifold. This generalizes the theorem by Diamond and
Vaaler that for a Lebesgue typical number in (0\,
1) the sum of the first n continued fraction coeff
icients minus the largest coefficient is asymptoti
c to n log n/ log 2. We also show that a similar s
trong law holds along SL(2\,R) orbit closures (sho
wn to be affine invariant submanifolds by Eskin-Mi
rzakhani and Eskin-Mirzakhani-Mohammadi) in the mo
duli space of quadratic differentials.
LOCATION:MR13
CONTACT:Ivan Smith
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