LUCAS BENIGNI
I am a L. E. Dickson Instructor at the mathematics department of the University of Chicago. I obtained my PhD from Université Paris-Diderot in 2019 under the supervision of Sandrine Péché (LPSM) and Paul Bourgade (CIMS, New York University).
You can read my PhD thesis here.
My research interests lie in probability theory, statistical physics and stochastic processes. I am more specifically interested in the study of spectral elements of large random matrices.
Here is my detailed CV.
Email: lbenigni@math.uchicago.edu
Telephone: +1 773-702-7336
Papers and preprints:
Address: Department of Mathematics
University of Chicago
5734 S. University Avenue
Chicago, IL 60637
- Largest eigenvalues of the Conjugate Kernel of single-layered neural networks, with S. Péché, preprint 2022
- Determinantal structures for Bessel fields, with P.-K. Hung and X. Wu, preprint 2021
- Fluctuations in local quantum unique ergodicity for generalized Wigner matrices, with P. Lopatto, to appear in Comm. Math. Phys.
- Optimal delocalization for generalized Wigner matrices, with P. Lopatto, to appear in Adv. Math.
- Eigenvalue distribution of nonlinear models of random matrices, with S. Péché, Electron. J. Probab. 26 (2021), 1-37.
- Fermionic eigenvector moment flow, Probab. Theory Related Fields 179 (2021),733-775.
- Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices, Ann. Inst. Henri Poincaré Probab. Stat. 56 (4) (2020), 2822-2867.
- Hausdorff dimension of the record set of a fractional Brownian motion, with C. Cosco, A. Shapira, and K. J. Wiese, Electron. Commun. Probab. 23 (2018), paper no. 22, 8pp.