%0 Journal Article %A Emmanuel Breuillard %T A height gap theorem for finite subsets of $\mathrm{GL}_{d}(\overline{\Bbb{Q}})$ and nonamenable subgroups %J Annals of mathematics %D 2011 %P 1057-1110 %V 174 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.2.7/ %R 10.4007/annals.2011.174.2.7 %G en %F 10_4007_annals_2011_174_2_7