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math.GT2026
Singularity of Cannon-Thurston maps
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
In a closed fibered hyperbolic 3-manifold M ,the inclusion of a fiber S, with S and M lifted to the universal covers, gives an exponentially distorted embedding of the hyperbolic p…
math.GT2025
Quasi-geodesics in the Cannon-Thurston metric
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
A closed fibered 3-manifold admits a complete hyperbolic metric if and only if it has a fibration with a pseudo-Anosov monodromy. The stable and the unstable laminations associated…
math.GT2018
Length functions on currents and applications to dynamics and counting
Viveka Erlandsson, Caglar Uyanik
The aim of this (mostly expository) article is twofold. We first explore a variety of length functions on the space of currents, and we survey recent work regarding applications of…