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Conditional measures of generalized Ginibre point processes
Alexander I. Bufetov, Yanqi Qiu · 2016-08-12 · via math.PR updates on arXiv.org

The main result of this paper is that conditional measures of generalized Ginibre point processes, with respect to the configuration in the complement of a bounded open subset on $\mathbb{C}$, are orthogonal polynomial ensembles with weights found explicitly. An especially simple formula for conditional measures is obtained in the particular case of radially-symmetric determinantal point processes, including the classical Ginibre point process.

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