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2018 Hole probabilities for $\beta $-ensembles and determinantal point processes in the complex plane
Kartick Adhikari
Electron. J. Probab. 23: 1-21 (2018). DOI: 10.1214/18-EJP176

Abstract

We compute the exact decay rate of the hole probabilities for $\beta $-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.

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Kartick Adhikari. "Hole probabilities for $\beta $-ensembles and determinantal point processes in the complex plane." Electron. J. Probab. 23 1 - 21, 2018. https://doi.org/10.1214/18-EJP176

Information

Received: 4 May 2017; Accepted: 7 May 2018; Published: 2018
First available in Project Euclid: 1 June 2018

zbMATH: 06924660
MathSciNet: MR3814242
Digital Object Identifier: 10.1214/18-EJP176

Subjects:
Primary: 60G55

JOURNAL ARTICLE
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Vol.23 • 2018
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