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February 2010 The Palm measure and the Voronoi tessellation for the Ginibre process
André Goldman
Ann. Appl. Probab. 20(1): 90-128 (February 2010). DOI: 10.1214/09-AAP620

Abstract

We prove that the Palm measure of the Ginibre process is obtained by removing a Gaussian distributed point from the process and adding the origin. We obtain also precise formulas describing the law of the typical cell of Ginibre–Voronoi tessellation. We show that near the germs of the cells a more important part of the area is captured in the Ginibre–Voronoi tessellation than in the Poisson–Voronoi tessellation. Moment areas of corresponding subdomains of the cells are explicitly evaluated.

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André Goldman. "The Palm measure and the Voronoi tessellation for the Ginibre process." Ann. Appl. Probab. 20 (1) 90 - 128, February 2010. https://doi.org/10.1214/09-AAP620

Information

Published: February 2010
First available in Project Euclid: 8 January 2010

zbMATH: 1197.60047
MathSciNet: MR2582643
Digital Object Identifier: 10.1214/09-AAP620

Subjects:
Primary: 60D05
Secondary: 60G55, 60K35

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.20 • No. 1 • February 2010
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