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The Palm measure and the Voronoi tessellation for the Ginibre process

André Goldman
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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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BibTeXRIS

André Goldman. 2006-10-07. The Palm measure and the Voronoi tessellation for the Ginibre process. https://doi.org/10.1214/09-aap620

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