Geodesic
A spectral gap theorem in SU$(d)$
Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1455-1511.

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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).
DOI : 10.4171/jems/337
Classification : 20-XX, 00-XX
Keywords: 
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     author = {Jean Bourgain and Alex Gamburd},
     title = {A spectral gap theorem in {SU}$(d)$},
     journal = {Journal of the European Mathematical Society},
     pages = {1455--1511},
     publisher = {mathdoc},
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     year = {2012},
     doi = {10.4171/jems/337},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/337/}
}
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Jean Bourgain; Alex Gamburd. A spectral gap theorem in SU$(d)$. Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1455-1511. doi : 10.4171/jems/337. http://geodesic.mathdoc.fr/articles/10.4171/jems/337/

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