Gap probabilities in the bulk of the Airy process 2022 (English)In: Random Matrices. Theory and Applications, ISSN 2010-3263, Vol. 11, no 02, article id 2250022Article in journal (Refereed) Published

Abstract [en]

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.

Place, publisher, year, edition, pages

World Scientific Pub Co Pte Ltd , 2022. Vol. 11, no 02, article id 2250022

Keywords [en]

Large gap probability, Airy point process, random matrix theory, Riemann-Hilbert problem

National Category

Mathematical Analysis Probability Theory and Statistics

Identifiers

URN: urn:nbn:se:kth:diva-312182DOI: 10.1142/S2010326322500228ISI: 000789116800001Scopus ID: 2-s2.0-85116915606OAI: oai:DiVA.org:kth-312182DiVA, id: diva2:1658888

Note

QC 20220518

Available from: 2022-05-18 Created: 2022-05-18 Last updated: 2022-06-25Bibliographically approved

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Blackstone, ElliotCharlier, ChristopheLenells, Jonatan

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Blackstone, ElliotCharlier, ChristopheLenells, Jonatan

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Mathematics (Div.)

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Random Matrices. Theory and Applications

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Mathematical AnalysisProbability Theory and Statistics

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