Statistics of Extreme Spacings in Determinantal Random Point Processes
Probability
2007-05-23 v2
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.
Cite
@article{arxiv.math/0506286,
title = {Statistics of Extreme Spacings in Determinantal Random Point Processes},
author = {Alexander Soshnikov},
journal= {arXiv preprint arXiv:math/0506286},
year = {2007}
}
Comments
16 pages