A spectral gap theorem in SU$\left(d\right)$

Bourgain, Jean, and Gamburd, Alex. "A spectral gap theorem in SU$(d)$." Journal of the European Mathematical Society 014.5 (2012): 1455-1511. <http://eudml.org/doc/277218>.

@article{Bourgain2012,
abstract = {We establish the spectral gap property for dense subgroups of SU$(d)$$(d\ge 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)$.},
author = {Bourgain, Jean, Gamburd, Alex},
journal = {Journal of the European Mathematical Society},
keywords = {spectral gap property; Hecke operator; spectral gap property; Hecke operator},
language = {eng},
number = {5},
pages = {1455-1511},
publisher = {European Mathematical Society Publishing House},
title = {A spectral gap theorem in SU$(d)$},
url = {http://eudml.org/doc/277218},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Bourgain, Jean
AU - Gamburd, Alex
TI - A spectral gap theorem in SU$(d)$
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 5
SP - 1455
EP - 1511
AB - We establish the spectral gap property for dense subgroups of SU$(d)$$(d\ge 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)$.
LA - eng
KW - spectral gap property; Hecke operator; spectral gap property; Hecke operator
UR - http://eudml.org/doc/277218
ER -