Professor Emmanuel Breuillard | Department of Pure Mathematics and Mathematical Statistics

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Research Interests:

Publications

Entropy of Bernoulli convolutions and uniform exponential growth for linear groups

E Breuillard, PP Varjú

– Journal d'Analyse Mathématique

(2020)

140,

443

(DOI: 10.1007/s11854-020-0100-0)

Irreducibility of random polynomials of large degree

E Breuillard, PP Varju

– Acta Mathematica

(2019)

223,

195

(DOI: 10.4310/acta.2019.v223.n2.a1)

On the dimension of Bernoulli convolutions

E Breuillard, PP Varjú

– The Annals of Probability

(2019)

47,

2582

(DOI: 10.1214/18-AOP1324)

Salem numbers and the spectrum of hyperbolic surfaces

EFJ Breuillard, B Deroin

– International Mathematics Research Notices

(2018)

(DOI: 10.1093/imrn/rny225)

Diophantine approximation on matrices and Lie groups

M Aka, EFJ Breuillard, L Rosenzweig, ND Saxce

– Geometric and Functional Analysis

(2018)

28,

1

(DOI: 10.1007/s00039-018-0436-0)

C*-simplicity and the unique trace property for discrete groups

E Breuillard, M Kalantar, M Kennedy, N Ozawa

– Publications mathématiques de l'IHÉS

(2017)

126,

35

(DOI: 10.1007/s10240-017-0091-2)

Nilprogressions and groups with moderate growth

E Breuillard, MCH Tointon

– Advances in Mathematics

(2016)

289,

1008

(DOI: 10.1016/j.aim.2015.11.025)

Expansion in finite simple groups of Lie type

E Breuillard, B Green, R Guralnick, T Tao

– Journal of the European Mathematical Society

(2015)

17,

1367

(DOI: 10.4171/jems/533)

The structure of approximate groups

E Breuillard, B Green, T Tao

– Publications mathématiques de l'IHÉS

(2012)

116,

115

(DOI: 10.1007/s10240-012-0043-9)

Strongly dense free subgroups of semisimple algebraic groups

E Breuillard, B Green, R Guralnick, T Tao

– Israel Journal of Mathematics

(2012)

192,

347

(DOI: 10.1007/s11856-012-0030-3)