Guillaume Dubach Research Teaching En français

Publications G. Dubach, P. Germain, B. Harrop-Griffiths, On the derivation of the homogeneous kinetic wave equation for a non-linear random matrix model , Ars Inveniendi Analytica (2023), Paper No. 7. G. Dubach, L. Erdős, Dynamics of a rank one perturbation of a Hermitian matrix, Electronic Communications in Probability 28, , 1-13, (2023). G. Dubach, Explicit formulas concerning eigenvectors of weakly non-unitary matrices, Electronic Communications in Probability 28, 1-11 (2023). L.-P. Arguin, G. Dubach, L. Hartung, Maxima of a Random Model of the Riemann Zeta Function over Intervals of Varying Length , to appear in Annales de L'Institut Henri Poincaré (2022). A. Serebryakov, N. Simm, G. Dubach, Characteristic polynomials of random truncations: moments, duality and asymptotics, to appear in Random Matrices: Theory and Applications (2022). T. Lucas, G. Dubach, Counting Boeotians: Conscription Lists, Military Forces and Demography in Hellenistic Boeotia (255-171 B.C.), to appear in Hesperia : the Journal of the American School of Classical Studies at Athens. G. Dubach, On eigenvector stastistics in the Spherical and Truncated Unitary ensembles, Electronic Journal of Probability 26, 1-29 (2021). G. Dubach, Y. Peled, On words of non-Hermitian random matrices, The Annals of Probability 49.4 (2021) 1886-1916. G. Dubach, Symmetries of the Quaternionic Ginibre Ensemble, Random Matrices: Theory and Applications (2020) 2150013. P. Bourgade, G. Dubach, The distribution of overlaps between eigenvectors of Ginibre matrices, Probability Theory and Related Fields (2020) 177: 397-464. G. Dubach, Powers of Ginibre Eigenvalues, Electronic Journal of Probability 23, 1-31 (2018). Preprints G. Dubach, J. Reker, Dynamics of a rank one multiplicative perturbation of a Unitary matrix, submitted (2022). G. Dubach, On the number of cycles in commutators of random permutations, submitted (2021). Coming soon P. Deift, G. Dubach, C. Tomei, T. Trogdon, Universality in Computation, in prep. P. Bourgade, G. Dubach, L. Hartung, Fisher-Hartwig asymptotics for non-Hermitian random matrices, in prep. Formal verification   Zagier's one-sentence proof of Fermat's two squares theorem, with F. Muehlboeck.                      Current code available on github.com/gdubach/Zagier_project.                      Companion paper: Formal verification of Zagier's one-sentence proof (2021)

Updated: October 2022