10 citations · 20 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
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…