English

Gap probabilities in the bulk of the Airy process

Probability 2020-12-03 v1 Mathematical Physics math.MP

Abstract

We consider the probability that no points lie on gg large intervals in the bulk of the Airy point process. We make a conjecture for all the terms in the asymptotics up to and including the oscillations of order 11, and we prove this conjecture for g=1g=1.

Cite

@article{arxiv.2012.01299,
  title  = {Gap probabilities in the bulk of the Airy process},
  author = {Elliot Blackstone and Christophe Charlier and Jonatan Lenells},
  journal= {arXiv preprint arXiv:2012.01299},
  year   = {2020}
}

Comments

21 pages, 6 figures

R2 v1 2026-06-23T20:40:35.220Z