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math.PR2021
The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity
Christophe Charlier, Jonatan Lenells
The local eigenvalue statistics of large random matrices near a hard edge transitioning into a soft edge are described by the Bessel process associated with a large parameter .…
math.PR2020
Gap probabilities in the bulk of the Airy process
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
We consider the probability that no points lie on large intervals in the bulk of the Airy point process. We make a conjecture for all the terms in the asymptotics up to and inc…