152 citations · 743 across the 29 of their papers we have counts for
4 papers · 2 filters
Maximum of the Riemann zeta function on a short interval of the critical line
Louis-Pierre Arguin, David Belius, Paul Bourgade +2
We prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the Riemann zeta function on random intervals along the critical line. More precisel…
Eigenvector Statistics of Sparse Random Matrices
Paul Bourgade, Jiaoyang Huang, Horng-Tzer Yau
We prove that the bulk eigenvectors of sparse random matrices, i.e. the adjacency matrices of Erdős-Rényi graphs or random regular graphs, are asymptotically jointly normal, provid…
The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
Roland Bauerschmidt, Paul Bourgade, Miika Nikula +1
For the two-dimensional one-component Coulomb plasma, we derive an asymptotic expansion of the free energy up to order , the number of particles of the gas, with an effective er…
Universality for a class of random band matrices
Paul Bourgade, Laszlo Erdos, Horng-Tzer Yau +1
We prove the universality for the eigenvalue gap statistics in the bulk of the spectrum for band matrices, in the regime where the band width is comparable with the dimension of th…