40 citations · 112 across the 16 of their papers we have counts for
4 papers · 1 filter
On the Lehmer conjecture and counting in finite fields
Emmanuel Breuillard, Péter P. Varjú
We give a reformulation of the Lehmer conjecture about algebraic integers in terms of a simple counting problem modulo p.
The joint spectrum
Emmanuel Breuillard, Cagri Sert
We introduce the notion of \emph{joint spectrum} of a compact set of matrices , which is a multi-dimensional generalization of the joint spectral radius…
Expansion in simple groups
Emmanuel Breuillard, Alexander Lubotzky
Two short seminal papers of Margulis used Kazhdan's property to give, on the one hand, explicit constructions of expander graphs, and to prove, on the other hand, the uniquen…
On the joint spectral radius for isometries of non-positively curved spaces and uniform growth
Emmanuel Breuillard, Koji Fujiwara
We recast the notion of joint spectral radius in the setting of groups acting by isometries on non-positively curved spaces and give geometric versions of results of Berger-Wang an…