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Gap probabilities in the bulk of the Airy process.(English)Zbl 1503.60056

Summary: 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 \(g=1\).

MSC:

60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)
30E25 Boundary value problems in the complex plane
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
60B20 Random matrices (probabilistic aspects)

Software:

DLMF

Cite

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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