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

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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.

元の言語英語
ページ(範囲)725-770
ページ数46
ジャーナルProbability Theory and Related Fields
165
発行部数3-4
DOI
出版物ステータス出版済み - 8 1 2016

All Science Journal Classification (ASJC) codes

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

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