A spectral gap theorem in SU$(d)$

Jean Bourgain, Alex Gamburd

Type: Article

Publication Date: 2012-08-29

Citations: 91

DOI: https://doi.org/10.4171/jems/337

Abstract

We establish the spectral gap property for dense subgroups of SU (d) ( d\geq 2 ), generated by finitely many elements with algebraic entries; this result was announced in [BG3]. The method of proof differs, in several crucial aspects, from that used in [BG] in the case of SU (2) .

Locations

arXiv (Cornell University) - View - PDF
Journal of the European Mathematical Society - View - PDF

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