Hole probabilities for β-ensembles and determinantal point processes in the complex plane

Article Type

Research Article

Publication Title

Electronic Journal of Probability

Abstract

We compute the exact decay rate of the hole probabilities for β-ensembles and determinantal point processes associated with the Mittag-Leffler kernels in the complex plane. We show that the precise decay rate of the hole probabilities is determined by a solution to a variational problem from potential theory for both processes.

DOI

10.1214/18-EJP176

Publication Date

1-1-2018

Comments

All Open Access, Gold, Green

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