Gap probabilities in the bulk of the Airy process

2020/12/02 by Blackstone, Elliot, Charlier, Christophe, Lenells, Jonatan
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2012.01299

Abstract

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.

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