Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles
Probability
2022-02-24 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2202.11687,
title = {Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles},
author = {Alexander I. Bufetov and David García-Zelada and Zhaofeng Lin},
journal= {arXiv preprint arXiv:2202.11687},
year = {2022}
}
Comments
28 pages