34 citations · 134 across the 29 of their papers we have counts for
35 papers
Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle
Fabrice Gamboa, Jan Nagel, Alain Rouault
Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17…
On some gateways between sum rules
Fabrice Gamboa, Jan Nagel, Alain Rouault
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…
Invariance principles for clocks
Maria-Emilia Caballero, Alain Rouault
We show an invariance principle for rescaled clocks of positive semi-stable Markov processes, proving a conjecture presented in Remark 4 in Demni, Rouault, Zani [11], 2015.
Large deviations for spectral measures of some spiked matrices
Nathan Noiry, Alain Rouault
We prove large deviations principles for spectral measures of perturbed (or spiked) matrix models in the direction of an eigenvector of the perturbation. In each model under study,…
A matrix version of a higher-order Szeg{ö} theorem
Alain Rouault
We extend a higher-order sum rule proved by B. Simon to matrix valued measures on the unit circle and their matrix Verblunsky coefficients.
Sum rules via large deviations: extension to polynomial potentials and the multi-cut regime
Fabrice Gamboa, Jan Nagel, Alain Rouault
A sum rule is an identity connecting the entropy of a measure with coefficients involved in the construction of its orthogonal polynomials (Jacobi coefficients). Our paper is an ex…