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Article Dans Une Revue Journal of the London Mathematical Society Année : 2018

Some properties of stationary determinantal point processes on Z

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Shilei Fan
  • Fonction : Auteur
Yanqi Qiu
  • Fonction : Auteur

Résumé

We study properties of stationary determinantal point processes X on Z from different points of views. It is proved that X boolean AND N is almost surely Bohr-dense and good universal for almost everywhere convergence in L1, and that X is not syndetic but X+X=Z. For the associated centered random field, we obtain a sub-Gaussian property, a Salem-Littlewood inequality and a Khintchine-Kahane inequality.

Dates et versions

hal-03622002 , version 1 (28-03-2022)

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Aihua Fan, Shilei Fan, Yanqi Qiu. Some properties of stationary determinantal point processes on Z. Journal of the London Mathematical Society, 2018, 98 (3), pp.517-535. ⟨10.1112/jlms.12145⟩. ⟨hal-03622002⟩
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