Statistics of Extreme Spacings in Determinantal Random Point Processes
نویسندگان
چکیده
منابع مشابه
Statistics of Extreme Spacings in Determinantal Random Point Processes
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. 2000 Math. Subj. Class. 60G55, 60G70.
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2005
ISSN: 1609-3321,1609-4514
DOI: 10.17323/1609-4514-2005-5-3-705-719