8 papers
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…
Coding Teichmüller flow using veering triangulations
Mark Bell, Vincent Delecroix, Vaibhav Gadre +2
We develop the theory of veering triangulations on oriented surfaces adapted to moduli spaces of half-translation surfaces. We use veering triangulations to give a coding of the Te…
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.
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…