3 papers
math.PR2026
Large deviations of the periodic Toda chain
Tamara Grava, Alice Guionnet, Karol K. Kozlowski +1
This work establishes a large deviation principle for the spectral measure of the Lax matrix associated to the periodic Toda chain of particles, subject to a generalised Gibbs…
math.PR2026
One-sided large deviations for the ground-state energy of spin glasses
Hong-Bin Chen, Alice Guionnet, Justin Ko +2
We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins. Thanks to the relatively explicit description of the rate function w…
math.PR2026
Macroscopic asymptotics in discrete beta-ensembles and random tilings
Gaëtan Borot, Vadim Gorin, Alice Guionnet
We carry out the asymptotic analysis of repulsive ensembles of N particles which are discrete analogues of continuous 1d log-gases or beta-ensembles of random matrix theory. The en…