L. Arguin

activity

20012026

most citedMaximum of the characteristic polynomial of random unitary matrices

103 citations · 478 across the 40 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.PR2021

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 $lo g ∣ ζ (1/2 + i τ) ∣$ , where $τ$ is a uniform random variable on $[T, 2 T]$ , is distributed like a Gaussian random variable of…

math.PR2021★ 2 cited

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 $(lo g T)^{θ}$ , where $θ$ is either fixed or tends to zero at a s…