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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…
math.GT2012★ 38 cited
Sublinear deviation between geodesics and sample paths
Giulio Tiozzo
We give a proof of the sublinear tracking property for sample paths of random walks on various groups acting on spaces with hyperbolic-like properties. As an application, we prove…