Statistics of Extreme Spacings in Determinantal Random Point Processes

Alexander Soshnikov

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Statistics of Extreme Spacings in Determinantal Random Point Processes

Alexander Soshnikov

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Abstract

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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Alexander Soshnikov. 2006-03-31. Statistics of Extreme Spacings in Determinantal Random Point Processes. https://arxiv.org/abs/math/0506286

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