English

Oscillatory asymptotics for the Airy kernel determinant on two intervals

Mathematical Physics 2020-09-07 v2 math.MP

Abstract

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 11, which are expressed in terms of Jacobi θ\theta-functions.

Cite

@article{arxiv.1912.04707,
  title  = {Oscillatory asymptotics for the Airy kernel determinant on two intervals},
  author = {Elliot Blackstone and Christophe Charlier and Jonatan Lenells},
  journal= {arXiv preprint arXiv:1912.04707},
  year   = {2020}
}

Comments

34 pages, 6 figures

R2 v1 2026-06-23T12:41:27.962Z