6 papers · 1 filter
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…
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…
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…
Tightness of the maximum of Ginzburg-Landau fields
Florian Schweiger, Wei Wu, Ofer Zeitouni
We consider the discrete Ginzburg-Landau field with potential satisfying a uniform convexity condition, in the critical dimension , and prove that its maximum over boxes of si…
The shape of the front of multidimensional branching Brownian motion
Yujin H. Kim, Ofer Zeitouni
We study the shape of the outer envelope of a branching Brownian motion (BBM) in , . We focus on the extremal particles: those whose norm is within of…
A CLT for the characteristic polynomial of random Jacobi matrices, and the GE
Fanny Augeri, Raphael Butez, Ofer Zeitouni
We prove a central limit theorem for the logarithm of the characteristic polynomial of random Jacobi matrices. Our results cover the GE models for .