L. Arguin

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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 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019

Absence of Disorder Chaos for Ising Spin Glasses on $Z^{d}$

Louis-Pierre Arguin, Jack Hanson

We identify simple mechanisms that prevents the onset of disorder chaos for the Ising spin glass model on $Z^{d}$ . This was first shown by Chatterjee in the case of Gaussian…

math.PR2019

Discretization of the maximum for the derivatives of a random model of $lo g ∣ ζ ∣$ 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 $X_{T} (h) = p \leq T \sum \frac{Re ( U _{p} p ^{- ih} )}{p ^{1/2}}, h \in [0, 1],$ where $…

math.PR2019

High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos

Louis-Pierre Arguin, Lisa Hartung, Nicola Kistler

We study the total mass of high points in a random model for the Riemann-Zeta function. We consider the same model as in [8], [2], and build on the convergence to 'Gaussian' multip…

Absence of Disorder Chaos for Ising Spin Glasses on Zd

Discretization of the maximum for the derivatives of a random model of log∣ζ∣ on the critical line

High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos

Absence of Disorder Chaos for Ising Spin Glasses on $Z^{d}$

Discretization of the maximum for the derivatives of a random model of $lo g ∣ ζ ∣$ on the critical line