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

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We prove a dichotomy between absolute continuity and singularity of the Ginibre point process G and its reduced Palm measures { Gx, x∈ C, ℓ= 0 , 1 , 2 … } , namely, reduced Palm measures Gx and Gy for x∈ C and y∈ Cn are mutually absolutely continuous if and only if ℓ= n; they are singular each other if and only if ℓ≠ n. Furthermore, we give an explicit expression of the Radon–Nikodym density dGx/ dGy for x, y∈ C.

Original languageEnglish
Pages (from-to)725-770
Number of pages46
JournalProbability Theory and Related Fields
Volume165
Issue number3-4
DOIs
Publication statusPublished - Aug 1 2016

All Science Journal Classification (ASJC) codes

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Absolute continuity and singularity of Palm measures of the Ginibre point process'. Together they form a unique fingerprint.

  • Cite this