English

On the mean projection theorem for determinantal point processes

Probability 2023-08-22 v3

Abstract

In this short note, we extend to the continuous case a mean projection theorem for discrete determinantal point processes associated with a finite range projection, thus strengthening a known result in random linear algebra due to Ermakov and Zolotukhin. We also give a new formula for the variance of the exterior power of the random projection.

Keywords

Cite

@article{arxiv.2203.04628,
  title  = {On the mean projection theorem for determinantal point processes},
  author = {Adrien Kassel and Thierry Lévy},
  journal= {arXiv preprint arXiv:2203.04628},
  year   = {2023}
}

Comments

7 pages

R2 v1 2026-06-24T10:07:06.975Z