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Gaussian limit for determinantal random point fields

Probability 2007-05-23 v3 Mathematical Physics math.MP

Abstract

We prove that under fairly general conditions properly rescaled determinantal random point field converges to a generalized Gaussian random process.

Keywords

Cite

@article{arxiv.math/0006037,
  title  = {Gaussian limit for determinantal random point fields},
  author = {Alexander Soshnikov},
  journal= {arXiv preprint arXiv:math/0006037},
  year   = {2007}
}

Comments

This is the revised version accepted for publication in the Annals of Probability. The results of Theorems 1 and 2 are extended, minor misprints are corrected