AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherINST MATHEMATICAL STATISTICS
CitationOvercrowding asymptotics for the Sine(beta) process 2017, 53 (3):1181 Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
Rights© Association des Publications de l’Institut Henri Poincaré, 2017.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe give overcrowding estimates for the Sine(beta) process, the bulk point process limit of the Gaussian beta-ensemble. We show that the probability of having exactly n points in a fixed interval is given by e(-beta/2n2) log(n)+O(n(2)) as n -> infinity. We also identify the next order term in the exponent if the size of the interval goes to zero.
VersionFinal published version
SponsorsNational Science Foundation CAREER award [DMS-1053280]