Seminar

I develop an analogue of Patterson-Sullivan theory for convex co compact subgroups of mapping class groups acting on Teichmueller space and use it to compute exact multiplicative asymptotics for orbit growth of such groups in Teichmuller space and growth of conjugacy classes of Pseudo-Anosov elements in these groups of bounded dilatation. I will also indicate some results in that direction for more general nonelementary subgroups of mapping class groups.