10 citations · 20 across the 6 of their papers we have counts for
7 papers
Toeplitz determinants with a one-cut regular potential and Fisher--Hartwig singularities I. Equilibrium measure supported on the unit circle
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
We consider Toeplitz determinants whose symbol has: (i) a one-cut regular potential , (ii) Fisher--Hartwig singularities, and (iii) a smooth function in the background. The pote…
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…
The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
The Bessel process models the local eigenvalue statistics near of certain large positive definite matrices. In this work, we consider the probability \begin{align*} \mathbb{P}\…
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…
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…
Diagonalization of the Finite Hilbert Transform on two adjacent intervals
Alexander Katsevich, Alexander Tovbis
We study the interior problem of tomography. The starting point is the Gelfand-Graev formula, which converts the tomographic data into the finite Hilbert transform (FHT) of an unkn…
The Daniell Integral
Elliot Blackstone, Piotr Mikusinski
The basic properties of the Daniell integral are presented. We do not use the standard approach of introducing auxiliary spaces of the "over-functions" and "under-functions." Inste…