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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
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…