3 papers
math.PR2017
Asymptotic results in solvable two-charge models
Martina Dal Borgo, Emma Hovhannisyan, Alain Rouault
Rider, Sinclair and Xu (2013) introduced a solvable two charge ensemble of interacting charged particles on the real line in the presence of the harmonic oscillator potential. It c…
math.PR2017
Asymptotic properties of the density of particles in -ensembles
Martina Dal Borgo, Emma Hovhannisyan, Alain Rouault
We extend recent results on the Asymptotic Equipartition Property for the density of particles in -ensembles, as tends to infinity. We prove the Large Deviation Principl…
math.PR2017
Mod-Gaussian convergence for random determinants and random characteristic polynomials
Martina Dal Borgo, Emma Hovhannisyan, Alain Rouault
The aim of this paper is to give a precise asymptotic description of some eigenvalue statistics stemming from random matrix theory. More precisely, we consider random determinants…