Work

Stability of mesoscopic fluctuations of orthogonal polynomial ensembles under sparse decaying perturbations

Year: 2025

Type: article

Abstract: In this paper, we study the stability of the mesoscopic fluctuations of certain orthogonal polynomial ensembles on the real line utilizing the recurrence relation of the associated orthogonal polynomials. We prove that under a sparse enough decaying perturbation of the recurrence coefficients the limiting distribution is stable. As a corollary, we prove a mesoscopic central limit theorem (at any scale) for a family of singular continuous measures on [Formula: see text].

Source: Random Matrices Theory and Application

DOI: 10.1142/s2010326325500224

Author: Daniel Ofner

Institution: Hebrew University of Jerusalem

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Israel Science Foundation, Vetenskapsrådet

Awards: Institut Mittag-Leffler, G7124960189