2 citations · 3 across the 5 of their papers we have counts for
6 papers
On random walks on the mapping class group
Ursula Hamenstädt
We define an electrification of the curve graph of a surface S of finite type and use it to identify the Poisson boundary of a random walk on the mapping class group of S with some…
An EZ-structure for the mapping class group
Ursula Hamenstädt
We construct a boundary for the mapping class group Mod(S) of a surface S of finite type. The action of Mod(S) on this boundary is minimal, strongly proximal and topologically free…
Periodic orbits in the thin part of strata
Ursula Hamenstädt
Let S be a closed oriented surface of genus with punctures and . Let be a connected component of a stratum in the moduli space Q(S) of area on…
Spotted disk and sphere graphs
Ursula Hamenstädt
The disk graph of a handlebody H of gneus with marked points on the boundary is the graph whose vertices are isotopy classes of disks disjoint from the marked p…
Geometry of the mapping class groups I: Boundary amenability
Ursula Hamenstaedt
We construct a geometric model for the mapping class group M of a non-exceptional oriented surface of finite type and use it to show that the action of M on the compact Hausdorff s…
Spectral convergence of manifold pairs
K. Fissmer, U. Hamenstaedt
We investigate the spectra of a family of pairs (M_i,A_i) consisting of a complete Riemannian manifold M_i and a closed subset A_i and which converge in the Lipschitz topology to a…