Statistics of Extreme Spacings in Determinantal Random Point Processes
- Author(s): Soshnikov, Alexander;
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0506286.pdf
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.