A spectral gap theorem in simple Lie groups

Abstract

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.

arXiv comment20 pages

References in corpus (3)

• Random walks in the group of Euclidean isometries and self-similar measures
• Transience of algebraic varieties in linear groups and application to generic Zariski density
• A Product Theorem in simple Lie groups

Cited by in corpus (2)

• Warped cones and spectral gaps
• Random walks in the group of Euclidean isometries and self-similar measures