Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Perturbed Toeplitz operators and radial determinantal processes

Torsten EhrhardtBrian Rider — 2013

Annales de l'I.H.P. Probabilités et statistiques

We study a class of rotation invariant determinantal ensembles in the complex plane; examples include the eigenvalues of Gaussian random matrices and the roots of certain families of random polynomials. The main result is a criterion for a central limit theorem to hold for angular statistics of the points. The proof exploits an exact formula relating the generating function of such statistics to the determinant of a perturbed Toeplitz matrix.

Page 1

Download Results (CSV)