A spectral gap theorem in SU(d)

• Autores: Jean Bourgain, Alex Gamburd
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 14, Nº 5, 2012, págs. 1455-1511
• Idioma: inglés
• DOI: 10.4171/jems/337
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• Resumen

  • We establish the spectral gap property for dense subgroups of SU(d) (d=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) .