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- W2949553206 abstract "We prove a dichotomy between absolute continuity and singularity of the Ginibre point process $mathsf{G}$ and its reduced Palm measures ${mathsf{G}_{mathbf{x}}, mathbf{x} in mathbb{C}^{ell}, ell = 0,1,2dots}$, namely, reduced Palm measures $G_{mathbf{x}}$ and $G_{mathbf{y}}$ for $mathbf{x} in mathbb{C}^{ell}$ and $mathbf{y} in mathbb{C}^{n}$ are mutually absolutely continuous if and only if $ell = n$; they are singular each other if and only if $ell not= n$. Furthermore, we give an explicit expression of the Radon-Nikodym density $dG_{mathbf{x}}/d G_{mathbf{y}}$ for $mathbf{x}, mathbf{y} in mathbb{C}^{ell}$." @default.
- W2949553206 created "2019-06-27" @default.
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- W2949553206 date "2014-06-16" @default.
- W2949553206 modified "2023-09-24" @default.
- W2949553206 title "Absolute continuity and singularity of Palm measures of the Ginibre point process" @default.
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- W2949553206 doi "https://doi.org/10.48550/arxiv.1406.3913" @default.
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