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math.GT2014
The curves not carried
Vaibhav Gadre, Saul Schleimer
Suppose is a train track on a surface . Let be the set of isotopy classes of simple closed curves carried by . Masur and Minsky [2004] prove is quasi-convex…
math.GT2014★ 1 cited
Partial sums of excursions along random geodesics and volume asymptotics for thin parts of moduli spaces of quadratic differentials
Vaibhav Gadre
For a non-uniform lattice in SL(2,R), we consider excursions in cusp neighborhoods of a random geodesic on the corresponding finite area hyperbolic surface or orbifold. We prove a…