On the mean projection theorem for determinantal point processes - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

On the mean projection theorem for determinantal point processes

Résumé

In this short note, we extend a mean projection theorem for discrete determinantal point processes to the continuous case, 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.
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Dates et versions

hal-03609991 , version 1 (16-03-2022)
hal-03609991 , version 2 (25-10-2022)
hal-03609991 , version 3 (21-02-2023)

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  • HAL Id : hal-03609991 , version 1

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Adrien Kassel, Thierry Lévy. On the mean projection theorem for determinantal point processes. 2022. ⟨hal-03609991v1⟩
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