Articles

Boursier J., Chafaï D., Labbé C. (2023), Universal cutoff for Dyson Ornstein Uhlenbeck process, Probability Theory and Related Fields, vol. 185, p. 449–512

Chafaï D., Saff E., Womersley R. (2022), On the solution of a Riesz equilibrium problem and integral identities for special functions, Journal of Mathematical Analysis and Applications, vol. 515, n°1, p. 126367

Chafaï D., García-Zelada D., Jung P. (2022), At the edge of a one-dimensional jellium, Bernoulli, vol. 28, n°3, p. 1784-1809

Chafaï D., Ferré G., Stoltz G. (2021), Coulomb gases under constraint: some theoretical and numerical results, SIAM Journal on Mathematical Analysis, vol. 53, n°1, p. 181-220

Bordenave C., Chafaï D., García-Zelada D. (2021), Convergence of the spectral radius of a random matrix through its characteristic polynomial, Probability Theory and Related Fields, p. 1-12

Bonnefont M., Chafaï D., Herry R. (2020), On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group, Annales de la Faculté des Sciences de Toulouse, vol. 29, n°2, p. 335-355

Chafai D., García-Zelada D., Jung P. (2020), Macroscopic and edge behavior of a planar jellium, Journal of Mathematical Physics, vol. 61, n°3

Chafaï D., Ferré G. (2019), Simulating Coulomb gases and log-gases with hybrid Monte Carlo algorithms, Journal of Statistical Physics, vol. 174, p. 692–714

Bolley F., Chafaï D., Fontbona J. (2018), Dynamics of a planar Coulomb gas, Annals of Applied Probability, vol. 28, n°5, p. 3152-3183

Chafaï D., Hardy A., Maïda M. (2018), Concentration for Coulomb gases and Coulomb transport inequalities, Journal of Functional Analysis, vol. 275, n°6, p. 1447-1483

Chafaï D., Tikhomirov K. (2018), On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence, Probability Theory and Related Fields, vol. 170, n°3-4, p. 847-889

Bordenave C., Caputo P., Chafaï D., Tikhomirov K. (2018), On the spectral radius of a random matrix: An upper bound without fourth moment, Annals of Probability, vol. 46, n°4, p. 2268-2286

Bordenave C., Caputo P., Chafaï D., Piras D. (2017), Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph, Random Matrices: Theory and Applications, vol. 6, n°2, p. 1750006

Adamczak R., Chafaï D., Wolff P. (2016), Circular law for random matrices with exchangeable entries, Random Structures & Algorithms, vol. 48, n°3, p. 454-479

Adamczak R., Chafaï D. (2015), Circular law for random matrices with unconditional log-concave distribution, Communications in Contemporary Mathematics, vol. 17, n°4

Chafaï D. (2015), From Boltzmann to random matrices and beyond, Annales de la Faculté des Sciences de Toulouse, vol. 24, n°4, p. 641-689

Chafaï D., Gozlan N., Zitt P-A. (2014), First order global asymptotics for confined particles with singular pair repulsion, Annals of Applied Probability, vol. 24, n°6, p. 2371-2413

Chafaï D., Péché S. (2014), A note on the second order universality at the edge of Coulomb gases on the plane, Journal of Statistical Physics, vol. 156, n°2, p. 368-383

Chafaï D., Bordenave C., Caputo P. (2014), Spectrum of Markov generators on sparse random graphs, Communications on Pure and Applied Mathematics, vol. 67, n°4, p. 621-669

Ouvrages

Chafaï D., Zitt P-A. (2017), Probabilités - Préparation à l'agrégation interne Amazon Self Publishing, 163 p.

Chafai D., Malrieu F. (2016), Recueil de modèles aléatoires, Berlin Heidelberg: Springer, XIII, 398 p.

Chafaï D., Malrieu F. (2016), Recueil de Modèles Aléatoires Springer

Chapitres d'ouvrage

Chafaï D., Lehec J. (2020), On Poincare and logarithmic Sobolev inequalities for a class of singular Gibbs measures, in Bo'az Klartag, Emanuel Milman, Geometric Aspects of Functional Analysis Israel Seminar (GAFA) 2017-2019 Volume I, Berlin Heidelberg: Springer, p. 219–246

Chafaï D. (2013), Introduction aux matrices aléatoires, in Sabbah, Claude, Aléatoire Editions de l'École Polytechnique, p. 87-120

Directions d'ouvrage

Bouchard B., Chafaï D. (2021), Covid-19 | Regards croisés sur la crise, Paris: Université Paris-Dauphine, 113 p.

Prépublications / Cahiers de recherche

Chafaï D., Saff E., Womersley R. (2022), Threshold condensation to singular support for a Riesz equilibrium problem, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 21 p.

Chafaï D., Dadoun B., Youssef P. (2022), Monotonicity of the logarithmic energy for random matrices, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 23 p.

Chafaï D. (2021), Aspects of Coulomb gases, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 26 p.