Stiffness for Random Walks on Locally symmetric spaces
Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015
Location: SLMath: Eisenbud Auditorium
stationary measure
uniformly expanding measure
quotients of Lie groups
entropy
amenable groups
Ratner's Theorem
51A45 - Incidence structures embeddable into projective geometries
26B20 - Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.)
14255
Let G be a semisimple Lie group, and \Gamma a lattice. in G. Let \mu be a measure on G. We show that under a certain condition on \mu, any \mu-stationary measure on G/\Gamma is in fact invariant under the group generated by the support of \mu. We give an alternative argument (which bypasses the Local Limit Theorem) for some of the breakthrough results of Benoist and Quint in this area. This is joint work with Elon Lindenstrauss
14255
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