The Palm measure and the Voronoi tessellation for the Ginibre process
Probability
2016-09-07 v4 Statistics Theory
Statistics Theory
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.
Cite
@article{arxiv.math/0610243,
title = {The Palm measure and the Voronoi tessellation for the Ginibre process},
author = {André Goldman},
journal= {arXiv preprint arXiv:math/0610243},
year = {2016}
}
Comments
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.org)