New results on expanders

Jean Bourgain; Alex Gamburd

doi:10.1016/j.crma.2006.02.032

Number Theory/Mathematical Analysis

New results on expanders
[Nouveaux résultats sur les expanseurs]

Présenté par : Jean Bourgain

Jean Bourgain ¹ ; Alex Gamburd ^1,²

¹ Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA
² Department of Mathematics, University of California, Santa Cruz, CA 95064, USA

Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 717-721.

Résumé
Abstract

En utilisant d'une approche purement analytique, nous obtenons de nouvelle familles d'expanseurs dans des groupes ${SL}_{2} (p)$ (p primier) et $SU (2)$ . Nos résultats contribuent à des conjectures de A. Lubotzky et P. Sarnak.

Based on purely analytical methods, we exhibit new families of expanders in ${SL}_{2} (p)$ (p prime) and $SU (2)$ , contributing to conjectures of A. Lubotzky and P. Sarnak.

Reçu le : 2006-02-10
Accepté le : 2006-02-21
Publié le : 2006-04-11

DOI : 10.1016/j.crma.2006.02.032

Affiliations des auteurs :

Jean Bourgain ¹ ; Alex Gamburd ^{1, 2}

¹ Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA
² Department of Mathematics, University of California, Santa Cruz, CA 95064, USA

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     author = {Jean Bourgain and Alex Gamburd},
     title = {New results on expanders},
     journal = {Comptes Rendus. Math\'ematique},
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     year = {2006},
     doi = {10.1016/j.crma.2006.02.032},
     language = {en},
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Jean Bourgain; Alex Gamburd. New results on expanders. Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 717-721. doi : 10.1016/j.crma.2006.02.032. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.032/

Bibliographie
Cité par

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