3 papers
math.FA2022
Singular limits of certain Hilbert-Schmidt integral operators
M. Bertola, E. Blackstone, A. Katsevich +1
In this paper we study the small- spectral asymptotics of an integral operator defined on two multi-intervals and , when the multi-intervals touch each othe…
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…
math-ph2019
Oscillatory asymptotics for the Airy kernel determinant on two intervals
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
We obtain asymptotics for the Airy kernel Fredholm determinant on two intervals. We give explicit formulas for all the terms up to and including the oscillations of order , whic…