Statistics of Extreme Spacings in Determinantal Random Point Processes

Details Statistics of Extreme Spacings in Determinantal Random Point Processes Statistics of Extreme Spacings in Determinantal Random Point Processes

2005-06-14

arxiv.org/abs/math/0506286v2

Mathematics

Probability

16 pages

Scientific paper

We study translation-invariant determinantal random point fields on the real
line. We prove, under quite general conditions, that the smallest nearest
spacings between the particles in a large interval have Poisson statistics as
the length of the interval goes to infinity.

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