arXiv subjects

Ursula Hamenstadt

Publications and source records attributed to Ursula Hamenstadt.

2 recordsLinked to original sources

arXiv2009

Dynamical properties of the Weil-Petersson metric

Let S be a non-exceptional oriented surface of finite type. We discuss the action of subgroups of the mapping class group of S on the CAT(0)-boundary of the completion of Teichmueller space with respect to the Weil-Petersson metric. We show that the set of invariant Borel probability measures for the Weil-Petersson flow on moduli space which are supported on closed orbits is dense in the space of invariant Borel probability measures.

math.DS↗

arXiv2008

Isometry groups of proper hyperbolic spaces

Let X be a proper hyperbolic geodesic metric space and let G be a closed subgroup of the isometry group Iso(X) of X. We show that if G is not amenable then its second continuous bounded cohomology group with coefficients the regular representation does not vanish. This yields some structure results for such groups.

math.GR↗