Publications

Characteristic polynomials of β-ensembles  & Gaussian multiplicative chaos 

• Bulk asymptotics of the Gaussian β-ensemble characteristic polynomial, with E. Paquette.

• Subcritical multiplicative chaos and the characteristic polynomial of the circular β-ensemble, with J. Najnudel.

• Multiplicative chaos measures from thick points of log-correlated field, with J. Junnila and C. Webb.
  Communications on Pure and Applied Mathematics 77 (11), 4212-4286

• Strong approximation of Gaussian β-ensemble characteristic polynomials: the edge regime and the stochastic Airy function, with E. Paquette.

• Strong approximation of Gaussian β-ensemble characteristic polynomials: the hyperbolic regime, with E. Paquette.
  Ann. Appl. Probab. 33(1): 549-612 (2023)

• How much can the eigenvalues of a random Hermitian matrix fluctuate? with T. Claeys, B. Fahs and C. Webb.
  Duke Mathematical Journal 170 (9), 2085-2235 (2021)

• Law of large numbers for the maximum of almost Gaussian log-correlated random fields coming from random matrices, with E. Paquette.
  Probability Theory and Related Fields  173, 157-209 (2019)

• Subcritical multiplicative chaos for regularized counting statistics from random matrix theory, with D. Ostrovsky and N. Simm.
  Communications in Mathematical Physics 360, 1-54 (2018)

Free Fermions & Determinantal processes

• Fluctuations of two-dimensional determinantal processes associated with Berezin-Toeplitz operators, with A. Deleporte.

• Widom's conjecture: variance asymptotics and entropy bounds for counting statistics of free fermions, with A. Deleporte.

• Central limit theorem for smooth statistics of one-dimensional free fermions, with A. Deleporte.
  Journal of the London Mathematical Society 111 (1), e70045, (2025)

• Universality for free fermions and the local Weyl law for semiclassical Schrödinger operators, with A. Deleporte
  Journal of the European Mathematical Society 27 (10), 3929–4026  (2025)

• Precise deviations for disk counting statistics of invariant determinantal processes, with M. Fenzl.
  International Mathematics Research Notices (2021).

• Incomplete determinantal processes: from random matrix to Poisson statistics.
  Journal of Statistical Physics 176 (6), 1343-1374 (2019)

• Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes, with K. Johansson.
  Annals of Probability 46 (3), 1201-1278, (2018)

Central limit theorems in random matrix theory

• From Berry-Esseen to super-exponential, with K. Courteaut and K. Johansson.
  Electronic Journal of Probability 29, 1-48 (2024)

• Multivariate normal approximation for traces of random unitary matrices, with K. Johansson.
  Annals of Probability 49 (6), 2961-3010 (2021)

• Mesoscopic central limit theorem for the circular β-ensembles and applications.
  Electronic Journal of Probability 26 (2021) 

• CLT for circular β-ensembles at high temperature, with A. Hardy.
  Journal of Functional Analysis 280 (7), 108869 (2021)

• Quantitative normal approximation of linear statistics of β-ensembles, with M. Ledoux and C. Webb.
  Annals of Probability  47 (5), 2619-2685, (2019)

• Limit theorems for biorthogonal ensembles and related combinatorial identities.
  Advances in Mathematics 329, 590-648 (2018) 

• Mesoscopic fluctuations for unitary invariant ensembles
  Electronic Journal of Probability 23 (2018)

Ginibre ensemble, Coulomb gas & related models

• Quantum statistics transmutation via magnetic flux attachment, with D. Lundholm and N. Rougerie
  Probability and Mathematical Physics 4 (4), 803-848 (2023)

• The characteristic polynomial of sums of random permutations and regular digraphs, with S. Coste and Y. Zhu
  International Mathematics Research Notices (2023).

• Law of large numbers for the maximum of the two-dimensional Coulomb gas potential, with T. Leblé and O. Zeitouni.
  Electronic Journal of Probability 29, 1-36 (2024)

• Maximum of the characteristic polynomial of the Ginibre ensemble.
  Communications in Mathematical Physics 378 (2), 943-985 (2020)

• Poisson statistics for Gibbs measures at high temperature.
  Ann. Inst. H. Poincaré Probab. Statist. 57(1), 326-350 (2020)