Conditional measures of generalized Ginibre point processes
arXiv:1608.03736
Abstract
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 , 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.
Accepted version in Journal of Functional Analysis