Dynamics Seminar
January 20, 2009

Jeremy Kahn
Stonny Brook

Random Ideal Triangulations and the Weil-Petersson Ehrenpreis conjecture

We prove the same statement for the normalized Weil-Petersson metric, in the case where the two surfaces are non-compact. In the course of doing so we construct ``Random ideal triangulations'' of the covers, where fairly accurate estimations of the proportion of each immersed triangle can be made.