A spectral gap theorem in SU
Jean Bourgain
Institute for Advanced Study, Princeton, United StatesAlex Gamburd
University of California at Santa Cruz, United States
Abstract
We establish the spectral gap property for dense subgroups of SU (), 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.
Cite this article
Jean Bourgain, Alex Gamburd, A spectral gap theorem in SU. J. Eur. Math. Soc. 14 (2012), no. 5, pp. 1455–1511
DOI 10.4171/JEMS/337