## A criterion for existence of invariant probability measures under lattice actions

#### Zhiren WangPennsylvania State University

The aim of this talk is to explain a criterion that, for a differentiable action by a higher rank lattice action, uses non-resonance between Lyapunov exponents and roots of the ambient Lie group to guarantee the existence of invariant probability measures, .
This is a joint work with A. Brown and F. Rodriguez Hertz.

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