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20142023
most citedAsymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities

40 citations · 223 across the 39 of their papers we have counts for

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Showing 2019 · math-phShow all

6 papers · 2 filters

math-ph2019★ 10 cited

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…

math-ph2019

The multiplicative constant for the Meijer- kernel determinant

Christophe Charlier, Jonatan Lenells, Julian Mauersberger

We compute the multiplicative constant in the large gap asymptotics of the Meijer-G point process. This point process generalizes the Bessel point process and appears at the hard e…

math-ph2019★ 15 cited

A periodic hexagon tiling model and non-Hermitian orthogonal polynomials

Christophe Charlier, Maurice Duits, Arno B. J. Kuijlaars +1

We study a one-parameter family of probability measures on lozenge tilings of large regular hexagons that interpolates between the uniform measure on all possible tilings and a par…

math-ph2019★ 1 cited

Higher order large gap asymptotics at the hard edge for Muttalib--Borodin ensembles

Christophe Charlier, Jonatan Lenells, Julian Mauersberger

We consider the limiting process that arises at the hard edge of Muttalib--Borodin ensembles. This point process depends on and has a kernel built out of Wright's generalize…

math-ph2019★ 14 cited

Large gap asymptotics for the generating function of the sine point process

Christophe Charlier

We consider the generating function of the sine point process on consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the…

math-ph2019

Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities

Christophe Charlier, Roozbeh Gharakhloo

We obtain large asymptotics of Hankel determinants whose weight has a one-cut regular potential and Fisher-Hartwig singularities. We restrict our attention to the…