On some gateways between sum rules - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

On some gateways between sum rules

Résumé

We present correspondences induced by some classical mappings between measures on an interval and measures on the unit circle. More precisely, we link their sequences of orthogonal polynomial and their recursion coefficients. We also deduce some correspondences between particular equilibrium measures of random matrix ensembles. Additionally, we show that these mappings open up gateways between the sum rules associated with some classical models, leading to new formulations of several sum rules.
Fichier principal
Vignette du fichier
prepint-GNR-gateway.pdf (511.48 Ko) Télécharger le fichier

Dates et versions

hal-03949782 , version 1 (20-01-2023)

Identifiants

Citer

Fabrice Gamboa, Jan Nagel, Alain Rouault. On some gateways between sum rules. 2023. ⟨hal-03949782⟩
40 Consultations
11 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More