Permanent link to this recordhttp://hdl.handle.net/20.500.12613/5931
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AbstractWe 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. © Association des Publications de l'Institut Henri Poincaré, 2013.
Citation to related workInstitute of Mathematical Statistics
Has partAnnales de l'institut Henri Poincare (B) Probability and Statistics
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