2 papers
math-ph2024
Stability of Mesoscopic Fluctuations of Orthogonal Polynomial Ensembles Under Sparse Decaying Perturbations
Daniel Ofner
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 pol…
math-ph2024
Mesoscopic Universality for Circular Orthogonal Polynomial Ensembles
Jonathan Breuer, Daniel Ofner
We study mesoscopic fluctuations of orthogonal polynomial ensembles on the unit circle. We show that asymptotics of such fluctuations are stable under decaying perturbations of the…