71 citations · 267 across the 25 of their papers we have counts for
25 papers
Cannon-Thurston maps and measures
Ursula Hamenstaedt
We give a short proof of the following extension of a recent result of Gadre, Maher, Pfaff and Uyanki: Consider a closed hyperbolic 3-manifold M which fibers over the circle, with…
On the cohomology of strata of abelian differentials
Ursula Hamenstädt
For g>2 we study the cohomology classes in the closure of a stratum of abelian differentials defined by the boundary strata of codimension one. As an application, we find an explic…
Small eigenvalues of random 3-manifolds
Ursula Hamenstaedt, Gabriele Viaggi
We show that for every there exists a number such that the smallest positive eigenvalue of a random closed 3-manifold of Heegaard genus is at most $c(g)/…
Asymptotic dimension and the disk graph II
Ursula Hamenstaedt
We show that the asymptotic dimension of a hyperbolic relatively hyperbolic graph is finite provided that this holds true uniformly for the peripheral subgraphs and for the electri…
Small eigenvalues and thick-thin decomposition in negative curvature
Ursula Hamenstaedt
Let be a finite volume oriented Riemannian manifold of dimension and curvature in , with thick-thin decomposition . Denote by $λ_k(…
Dynamical properties of the absolute period foliation
Ursula Hamenstaedt
We show that the absolute period foliation of the principal stratum of abelian differentials on a surface of genus at least 3 is ergodic. We also investigate the absolute period fo…