A spectral gap theorem in SU

  • Jean Bourgain

    Institute for Advanced Study, Princeton, United States
  • Alex Gamburd

    University of California at Santa Cruz, United States


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