Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles

Résumé

We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian and Poisson fluctuations. Among the possible Gaussian fluctuations, we can find white noise but also fluctuations with non-trivial covariance at a particular scale.

Dates et versions

hal-03854330 , version 1 (15-11-2022)

Identifiants

Citer

Alexander I. Bufetov, David García-Zelada, Zhaofeng Lin. Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles. 2022. ⟨hal-03854330⟩
23 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More