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arXiv · 1707.06054

A rigidity property of superpositions involving determinantal processes

Yanqi Qiu
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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 $\Pi$.

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Yanqi Qiu. 2017-07-19. A rigidity property of superpositions involving determinantal processes. https://arxiv.org/abs/1707.06054

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