Random walks on weakly hyperbolic groups

Joseph Maher (CUNY )

Monday 9th January, 2017 16:00-17:00 Maths 204


Let G be a group acting by isometries on a Gromov hyperbolic space, which need not be proper. If G contains two hyperbolic elements with disjoint fixed points, then we show that a random walk on G converges to the boundary almost surely. This gives a unified approach to convergence for the mapping class groups of surfaces, outer automorphisms of the free group and acylindrical groups. This is joint work with Giulio Tiozzo.

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