A rigidity property of superpositions involving determinantal processes

Yanqi Qiu

A rigidity property of superpositions involving determinantal processes

Probability 2017-10-27 v2 Mathematical Physics math.MP

Authors: Yanqi Qiu

Abstract

The main result of this paper states that if $(N, \Pi)$ is a pair of independent point processes on a common ground space with $N$ Poisson and $\Pi$ determinantal induced by a locally trace class (not necessarily self-adjoint) correlation kernel, then their independent superposition $N + \Pi$ determines uniquely the distributions of $N$ and $\Pi$ .

Keywords

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Cite

@article{arxiv.1707.06054,
  title  = {A rigidity property of superpositions involving determinantal processes},
  author = {Yanqi Qiu},
  journal= {arXiv preprint arXiv:1707.06054},
  year   = {2017}
}

Comments

7 pages

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