3 papers
math.GT2025
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…
math.GR2005
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…
math.DG2002
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…