THE PALM MEASURE AND THE VORONOI TESSELLATION FOR THE GINIBRE PROCESS

• 成果类型: Article
• 署名作者: Goldman, Andre
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/09-AAP620
• 发表日期: 2010
• 页码: 90-128
• 关键词: poisson; distributions; statistics; cells

摘要

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.