The Palm measure and the Voronoi tessellation for the Ginibre process
Open Access
- 1 February 2010
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Probability
- Vol. 20 (1)
- https://doi.org/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.Comment: Published in at http://dx.doi.org/10.1214/09-AAP620 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.orgOther Versions
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