The Annals of Applied Probability

The Palm measure and the Voronoi tessellation for the Ginibre process

André Goldman

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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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Ann. Appl. Probab., Volume 20, Number 1 (2010), 90-128.

First available in Project Euclid: 8 January 2010

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Zentralblatt MATH identifier

Primary: 60D05: Geometric probability and stochastic geometry [See also 52A22, 53C65]
Secondary: 60G55: Point processes 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Ginibre process Palm measure determinantal process stochastic domination Voronoi tessellation


Goldman, André. The Palm measure and the Voronoi tessellation for the Ginibre process. Ann. Appl. Probab. 20 (2010), no. 1, 90--128. doi:10.1214/09-AAP620.

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