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.Comment: 16 page

Soshnikov, Alexander

English

arXiv

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

Statistics of Extreme Spacings in Determinantal Random Point Processes

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