Conditional measures of generalized Ginibre point processes
Probability
2017-05-01 v2 Mathematical Physics
Functional Analysis
math.MP
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.
Cite
@article{arxiv.1608.03736,
title = {Conditional measures of generalized Ginibre point processes},
author = {Alexander I. Bufetov and Yanqi Qiu},
journal= {arXiv preprint arXiv:1608.03736},
year = {2017}
}
Comments
Accepted version in Journal of Functional Analysis