103 citations · 478 across the 40 of their papers we have counts for
31 papers · 1 filter
On the Fourier coefficients of critical Gaussian multiplicative chaos
Louis-Pierre Arguin, Jad Hamdan
We continue the study of the Fourier coefficients of Gaussian multiplicative chaos (GMC) recently initiated by Garban and Vargas. We show that if are the Fourie…
Evidence of Random Matrix Corrections for the Large Deviations of Selberg's Central Limit Theorem
Eli Amzallag, Louis-Pierre Arguin, Emma Bailey +2
Selberg's central limit theorem states that the values of , where is a uniform random variable on , is distributed like a Gaussian random variable of…
Maxima of a Random Model of the Riemann Zeta Function over Intervals of Varying Length
Louis-Pierre Arguin, Guillaume Dubach, Lisa Hartung
We consider a model of the Riemann zeta function on the critical axis and study its maximum over intervals of length , where is either fixed or tends to zero at a s…
The Fyodorov-Hiary-Keating Conjecture. I
Louis-Pierre Arguin, Paul Bourgade, Maksym Radziwiłł
By analogy with conjectures for random matrices, Fyodorov-Hiary-Keating and Fyodorov-Keating proposed precise asymptotics for the maximum of the Riemann zeta function in a typical…
Absence of Disorder Chaos for Ising Spin Glasses on
Louis-Pierre Arguin, Jack Hanson
We identify simple mechanisms that prevents the onset of disorder chaos for the Ising spin glass model on . This was first shown by Chatterjee in the case of Gaussian…
Discretization of the maximum for the derivatives of a random model of on the critical line
Louis-Pierre Arguin, Frédéric Ouimet, Christian Webb
In this short note, we study the derivatives of all orders for the random field where $…