Adrien Hardy

Mathematician, Associate professor at Université de Lille, France.

I'm a mathematician mostly interested in probability, statistics, analysis and mathematical physics.

My research interests lie principally in understanding large random interacting particle systems, including random matrix models, determinantal point processes, or Gibbs measures such as the Coulomb gas. More recently, I became interested in using such stochastic models for applications (numerical integration, machine learning, signal processing, telecomunications, ...).

Member of the INRIA team MEPHYSTO-POST.
Member of the ANR JCJC BoB and the ERC StG BlackJack (PI: Rémi Bardenet).

Spherical GAF realization (picture)


See also [Google Scholar, MathSciNet, ArXiv]

  1. CLT for circular beta-Ensembles at high temperature
    with Gaultier Lambert. Preprint (2019) [arXiv]

  2. Mutual information of wireless channels and block-Jacobi ergodic operators
    with Walid Hachem, Shlomo Shamai. IEEE Transactions on Information Theory (2019) [arXiv, I3EIT]

  3. DLR equations and rigidity for the Sine-beta process
    with David Dereudre, Thomas Leblé, Mylène Maïda. Preprint (2018), to appear in Communications on Pure and Applied Mathematics [arXiv]

  4. Time-frequency transforms of white noises and Gaussian analytic functions
    with Rémi Bardenet. Applied and Computational Harmonic Analysis (2019) [arXiv, ACHA]

  5. Energy of the Coulomb gas on the sphere at low temperature
    with Carlos Beltrán. Archive for Rational Mechanics and Analysis (2018) [arXiv, ARMA]

  6. Polynomial ensembles and recurrence coefficients
    Constructive Approximation (2018) [arXiv, CA]

  7. Concentration for Coulomb gases and Coulomb transport inequalities
    with Djalil Chafaï, Mylène Maïda. Journal of Functional Analysis (2018) [arXiv, JFA]

  8. Monte Carlo with determinantal point processes
    with Rémi Bardenet. Preprint (2016), to appear in Annals of Applied Probability [arXiv]

  9. A survey on the eigenvalues local behavior of large complex correlated Wishart matrices
    with Walid Hachem, Jamal Najim. ESAIM: Proceedings and surveys (2015) [arXiv, ESAIM]

  10. Large complex correlated Wishart matrices: The Pearcey kernel and expansion at the hard edge
    with Walid Hachem, Jamal Najim. Electronic Journal of Probability (2016) [arXiv, EJP]

  11. Large complex correlated Wishart matrices: Fluctuations and asymptotic independence at the edges
    with Walid Hachem, Jamal Najim. Annals of Probability (2016) [arXiv, AOP]

  12. Average characteristic polynomials of determinantal point processes
    Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (2015) [arXiv, AIHP]

  13. Large deviations for a non-centered Wishart matrix
    with Arno Kuijlaars. Random Matrices: Theory and Applications (2013) [arXiv, RMTA]

  14. A note on large deviations for 2D Coulomb gas with weakly confining potential
    Electronic Communications in Probability (2012) [arXiv, ECP]

  15. Weakly admissible vector equilibrium problems
    with Arno Kuijlaars. Journal of Approximation Theory (2012) [arXiv, JAT]

Conference proceedings and other publications:

  • A correspondence between zeros of time-frequency transforms and Gaussian analytic functions
    with Rémi Bardenet, Pierre Chainais, Julien Flamant. 13th International conference on sampling theory and applications, SampTA 2019, Aug 2019, Bordeaux, France (2018) [HAL]

  • Processus ponctuels déterminantaux
    with Mylène Maïda. Gazette des Mathématiciens (2018) [SMF]
    An english version has also been published in the Newsletter of the EMS [EMS]

  • From random matrices to Monte Carlo integration via Gaussian quadrature
    with Rémi Bardenet. IEEE Statistical Signal processing workshop, 2018, Freiburg, Germany (2018) [HAL]


Courses (mainly in french):

  • (2019-2020) Concentration de la mesure et applications , M2 Recherche [Cours+TD]

  • (2019-2020) Chaînes de Markov et applications, M2 Ingénierie Statistique et Numérique [Cours+TP Python]

  • (2019-2020) Probabilités discrètes, L2 Math [TD]

  • (2018-2020) Probabilité, modèles et applications, M1 Ingénierie mathématique [Cours+TD]

  • (2017-2020) Séries temporelles, M1 Mathématiques pour la finance [Cours]

  • (2016-2020) Séries temporelles, M1 Mathématiques pour la finance [TP Python]

  • (2016-2018) Introduction to statistics, Ecole centrale de Lille, M1 Biomedical engineering[cours+TP R]

  • (2016-2018) Introduction aux processus ponctuels déterminantaux, M2 Recherche [Cours+TD]

  • (2015-2018) Traitement informatique de la statistique des données, M1 Ingénierie mathématique [cours+TP R et SAS]

  • (2015-2017) Mathématiques de base, L1 SVTE parcours aménagé [cours+TD]

  • (2015-2016) TD Mathématiques (analyse, algèbre, probabilités), Télécom Lille

PhD student: Mohamed Slim Kammoun (2017-), with Mylène Maïda.

Internship students: Imen Kerkeni (2018, Ecole Centrale Lille), Elvis Jourdant (2018, ENS Paris-Saclay).


Since September 2015, I am Maître de conférences (~Associate professor) in the Laboratoire Paul Painlevé, which is the mathematic department of the University of Lille.

During 2013-2015, I had a postdoctoral position at the Royal Institute of Technology (KTH) in the research team of Kurt Johansson.

In June 2013, I obtained a joint PhD degree (see the thesis) from KU Leuven, supervised by Arno Kuijlaars, and the Institut de Mathématiques de Toulouse, supervised by Michel Ledoux.

Before that, I studied in the Magistère de mathématiques de Strasbourg, including a Bachelor thesis with Janos Polonyi, a Magistère thesis with Jean-Bernard Zuber (internship at the LPTHE), and a Master thesis with Pierre van Moerbeke (Erasmus exchange program with the Université Catholique de Louvain).


Scientific websites I like to visit:

What's new (Terence Tao's Blog)

Libres pensées d'un mathématicien ordinaire (Djalil Chafaï's Blog)

John Baez's Stuff (John Baez's Blog)

Freakonometrics (Arthur Charpentier's Blog)

Images des mathématiques (in french)

Quanta Magazine (general science)

Math Overflow (research level math questions)

Math Stackexchange (student level math questions)

The mathematician's survival kit:

Digital Library of Mathematical Functions

The On-Line Encyclopedia of Integer Sequences



Email: adrien.hardy[you_know_what]

Address: Laboratoire Paul Painlevé,
Université de Lille,
Cité Scientifique, bâtiment M3,
59 655 Villeneuve d'Ascq Cedex,

Bureau: 306