arXiv Analytics

Sign in

arXiv:2012.01299 [math.PR]AbstractReferencesReviewsResources

Gap probabilities in the bulk of the Airy process

Elliot Blackstone, Christophe Charlier, Jonatan Lenells

Published 2020-12-02Version 1

We consider the probability that no points lie on $g$ 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 $1$, and we prove this conjecture for $g=1$.

Comments: 21 pages, 6 figures
Categories: math.PR, math-ph, math.MP
Related articles: Most relevant | Search more
arXiv:1009.0683 [math.PR] (Published 2010-09-03)
From the Pearcey to the Airy process
arXiv:2404.06006 [math.PR] (Published 2024-04-09)
Large deviation principle for the Airy point process
arXiv:math/0308157 [math.PR] (Published 2003-08-16)
On Asymptotics for the Airy Process