%0 Journal Article %T The Palm measure and the Voronoi tessellation for the Ginibre process %A Andr¨¦ Goldman %J Mathematics %D 2006 %I arXiv %R 10.1214/09-AAP620 %X 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. %U http://arxiv.org/abs/math/0610243v4