Absolute continuity and singularity of Palm measures of the Ginibre point process

• 成果类型: Article
• 署名作者: Osada, Hirofumi; Shirai, Tomoyuki
• 署名单位: Kyushu University; Kyushu University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-015-0644-6
• 发表日期: 2016
• 页码: 725-770
• 关键词: Matrices; Poisson; FIELDS; fermion

摘要

We prove a dichotomy between absolute continuity and singularity of the Ginibre point process and its reduced Palm measures , namely, reduced Palm measures and for and are mutually absolutely continuous if and only if ; they are singular each other if and only if . Furthermore, we give an explicit expression of the Radon-Nikodym density for dG(x)/dG(y) for x, y is an element of C-l.