Dr Joseph Najnudel
PhD
Current positions
Associate Professor
School of Mathematics
Contact
Press and media
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Research interests
Random matrix theory: study of random unitary matrices (in particular the Circular Unitary Ensemble), random permutation matrices and related infinite-dimensional limiting objects, link between random matrix theory and number theory, link between random matrix theory and mathematical physics.
Stochastic analysis: study of limiting measures constructed by modifying the Brownian motion or more general stochastic processes, study of the Brownian local times and polymer models.
More detail can be found on my personal webpage.
Projects and supervisions
Thesis supervisions
Publications
Recent publications
01/07/2023Secular Coefficients and the Holomorphic Multiplicative Chaos
Annals of Probability
A spin-glass model for the loss surfaces of generative adversarial networks
Journal of Statistical Physics
On smooth mesoscopic linear statistics of the eigenvalues of random permutation matrices
Journal of Theoretical Probability
Universal characteristics of deep neural network loss surfaces from random matrix theory
Journal of Physics A: Mathematical and Theoretical
Emergence of Jumps in Quantum Trajectories via Homogenization
Communications in Mathematical Physics
