A note related to the CS decomposition and the BK inequality for discrete determinantal processes
Probability
2022-05-05 v5
Abstract
We prove that for a discrete determinantal process the BK inequality occurs for increasing events generated by simple points. We give also some elementary, but nonetheless appealing relationship, between a discrete determinantal process and the well-known CS decomposition.
Cite
@article{arxiv.1905.03579,
title = {A note related to the CS decomposition and the BK inequality for discrete determinantal processes},
author = {André Goldman},
journal= {arXiv preprint arXiv:1905.03579},
year = {2022}
}
Comments
To appear in Journal of Applied Probability