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math.RT2014★ 4 cited
A spectral gap theorem in simple Lie groups
Yves Benoist, Nicolas de Saxcé
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…
math.RT2014★ 3 cited
A Product Theorem in simple Lie groups
Nicolas de Saxcé
We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.