Generic properties of elements of the mapping class group and random walks on hyperbolic spaces

Jeudi 3 mars 2011 14:00-15:00 - Kaimanovich Vadim - Ottawa

Résumé : The notion of relative hyperbolicity readily provides numerous naturalexamples of non-proper hyperbolic spaces. One of the most striking examplesarises in the Teichmuller theory and is based on the Masur-Minsky theorem onhyperbolicity of the curves complex. Its combination with earlier work ofKaimanovich-Masur on random walks on the mapping class group recently ledMaher to a proof of genericity of pseudo-Anosov elements in subgroups of themapping class group. In the talk we shall discuss further generalizations ofthis result as well as various problems related to random walks onnon-proper hyperbolic spaces.

Lieu : bât. 425 - 121-123

Generic properties of elements of the mapping class group and random walks on hyperbolic spaces  Version PDF