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math.PR2025
Maximum of the characteristic polynomial of random Jacobi matrices
Fanny Augeri, Ofer Zeitouni
We compute the second order asymptotics of the maximum of the absolute value of the log-characteristic polynomial of random Jacobi matrices whose coefficients satisfy some exponent…
math.PR2025
The Liouville model in the phase: coupling and extreme values
Michael Hofstetter, Ofer Zeitouni
We establish a strong coupling between the Liouville model and the Gaussian free field on the two dimensional torus in the phase , such that the difference of t…
math.PR2025
The maximum of the two dimensional Gaussian directed polymer in the subcritical regime
Clément Cosco, Shuta Nakajima, Ofer Zeitouni
We study the maximum of the partition function of the two dimensional (subcritical) Gaussian directed polymer over an box. We show that $ϕ_N^*/\log…