103 citations · 478 across the 40 of their papers we have counts for
4 papers · 1 filter
Maximum of the characteristic polynomial of random unitary matrices
Louis-Pierre Arguin, David Belius, Paul Bourgade
It was recently conjectured by Fyodorov, Hiary and Keating that the maximum of the characteristic polynomial on the unit circle of a random unitary matrix sampled from…
Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses
L. -P. Arguin, C. M. Newman, D. L. Stein
We present a technique to generate relations connecting pure state weights, overlaps, and correlation functions in short-range spin glasses. These are obtained directly from the un…
Extremes of the two-dimensional Gaussian free field with scale-dependent variance
Louis-Pierre Arguin, Frédéric Ouimet
In this paper, we study a random field constructed from the two-dimensional Gaussian free field (GFF) by modifying the variance along the scales in the neighborhood of each point.…
Maxima of a randomized Riemann zeta function, and branching random walks
Louis-Pierre Arguin, David Belius, Adam J. Harper
A recent conjecture of Fyodorov--Hiary--Keating states that the maximum of the absolute value of the Riemann zeta function on a typical bounded interval of the critical line is $\e…