18 citations · 29 across the 16 of their papers we have counts for
17 papers · 1 filter
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…
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…
Random walk speed is a proper function on Teichmüller space
Aitor Azemar, Vaibhav Gadre, Sébastien Gouëzel +3
Consider a closed surface with negative Euler characteristic, and an admissible probability measure on the fundamental group of with finite first moment. Corresponding to e…
Linear progress in fibres
Vaibhav Gadre, Sebastian Hensel
A fibered hyperbolic 3-manifold induces a map from the hyperbolic plane to hyperbolic 3-space, the respective universal covers of the fibre and the manifold. The induced map is an…
Weil--Petersson geodesics on the modular surface
Vaibhav Gadre
We consider the Weil--Petersson (WP) metric on the modular surface. We lift WP geodesics to the universal cover of the modular surface and analyse geometric properties of the lifts…
Statistical hyperbolicity for harmonic measure
Aitor Azemar, Vaibhav Gadre, Luke Jeffreys
We consider harmonic measures that arise from random walks on the mapping class group determined by probability distributions that have finite first moment with respect to the Teic…
Trimmed sums of twists and the area Siegel-Veech constant
Vaibhav Gadre
We relate trimmed sums of twists in cylinders along a typical Teichmuller geodesic to the area Siegel-Veech constant.
Recurrence of quadratic differentials for harmonic measure
Vaibhav Gadre, Joseph Maher
We consider random walks on the mapping class group that have finite first moment with respect to the word metric, whose support generates a non-elementary subgroup and contains a…
The stratum of random mapping classes
Vaibhav Gadre, Joseph Maher
We consider random walks on the mapping class group whose support generates a non-elementary subgroup and contains a pseudo-Anosov map whose invariant Teichmüller geodesic is in th…
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…
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…
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.
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…
Every transformation is disjoint from almost every non-classical exchange
Jon Chaika, Vaibhav Gadre
A natural generalization of interval exchange maps are linear involutions, first introduced by Danthony and Nogueira. Recurrent train tracks with a single switch which we call non-…
The limit set of the handlebody set has measure zero
Vaibhav Gadre
This note fixes a small gap in Kerckhoff's proof that the limit set of the handlebody set has measure zero.
Minimal pseudo-Anosov translation lengths on the complex of curves
Vaibhav Gadre, Chia-Yen Tsai
We establish bounds on the minimal asymptotic pseudo-Anosov translation lengths on the complex of curves of orientable surfaces. In particular, for a closed surface with genus $g \…
Harmonic measures for distributions with finite support on the mapping class group are singular
Vaibhav S Gadre
Kaimanovich and Masur showed that a random walk on the mapping class group for an initial distribution with finite first moment and whose support generates a non-elementary subgrou…