A spectral gap theorem in simple Lie groups

By Y. Benoist, N. Saxcé. 2014

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We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/168897653704ce836f65a30eb2cfe21c8e737655