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

  • Author(s): Soshnikov, Alexander
  • et al.

Published Web Location

https://arxiv.org/pdf/math/0506286.pdf
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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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