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Moscow Mathematical Journal, 2005, Volume 5, Number 3, Pages 705–719
DOI: https://doi.org/10.17323/1609-4514-2005-5-3-705-719 (Mi mmj216) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Statistics of extreme spacing in determinantal random point processes

A. B. Soshnikov

University of California, Berkeley
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DOI: https://doi.org/10.17323/1609-4514-2005-5-3-705-719
Abstract: We study determinantal translation-invariant random point processes on the real line. Under some technical assumptions on the correlation kernel, we prove that the smallest nearest spacings in a large interval have Poisson statistics as the length of the interval goes to infinity.
Key words and phrases: Determinantal random point processes, cluster functions, Poisson statistics.
Received: July 4, 2005
Bibliographic databases:
MSC: 60G55, 60G70
Language: English
Citation: A. B. Soshnikov, “Statistics of extreme spacing in determinantal random point processes”, Mosc. Math. J., 5:3 (2005), 705–719
Citation in format AMSBIB
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\by A.~B.~Soshnikov
\paper Statistics of extreme spacing in determinantal random point processes
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 3
\pages 705--719
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    • This publication is cited in the following 9 articles:
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