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math.GT2012
Lipschitz constants to curve complexes
Vaibhav Gadre, Eriko Hironaka, Richard P. Kent +1
We determine the asymptotic behavior of the optimal Lipschitz constant for the systole map from Teichmuller space to the curve complex.
math.GT2012
Word length statistics for Teichmüller geodesics and singularity of harmonic measure
Vaibhav Gadre, Joseph Maher, Giulio Tiozzo
Given a measure on the Thurston boundary of Teichmueller space, one can pick a geodesic ray joining some basepoint to a randomly chosen point on the boundary. Different choices of…