2 papers
math.PR2017
Local limit theorems and mod-phi convergence
Martina dal Borgo, Pierre-Loïc Méliot, Ashkan Nikeghbali
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable distribution. In particular, we give two new proofs of a local limit theorem in t…
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…