Erratum to: Canonical Moments and Random Spectral Measures

Journal of Theoretical Probability, Oct 2015

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Erratum to: Canonical Moments and Random Spectral Measures

Erratum to: J Theor Probab Erratum to: Canonical Moments and Random Spectral Measures 0 Laboratoire de Mathématiques de Versailles, Université Versailles-Saint-Quentin , 78035 Versailles , France 1 Institut de Mathématiques, Université de Toulouse , Université Paul Sabatier, 31062 Toulouse Cedex , France The aim of this short note is to report a mistake in a power appearing in a Jacobian in [2, Lemma 3.3]. Notice that this result and mistake occurred earlier in [3, Lemma 7.3]. Indeed, the error comes from a wrong Jacobian computation: If z, w ∈ C with z = x + i y, w = s + i t (x , y, s, t ∈ R) and k > 0 with z = kw, then the Jacobian D(x , y) equals k2 and not k (in brief, d2z equals k2d2w and not kd2w). The correct D(s, t ) density of c j is then η2(N − j). Consequently, Theorem 4.1 and Corollary 4.2 of [2] are invalidated. The previous mistake is also reported in the remark at the beginning of Section 4.2 of [1]. 1. Barthe , F. , Gamboa , F. , Lozada-Chang , L.-V. , Rouault , A. : Generalized Dirichlet distributions on the ball and moments . Latin Am. J. Probab. Math. Stat. (ALEA) 7 , 319 - 340 ( 2010 ) 2. Gamboa , F. , Rouault , A. : Canonical moments and random spectral measures . J. Theor. Probab . 23 , 1015 - 1038 ( 2010 ) 3. Lozada-Chang , L.V. : Large deviations on moment spaces . Electron. J. Probab . 10 , 662 - 690 ( 2005 )


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Erratum to: Canonical Moments and Random Spectral Measures, Journal of Theoretical Probability, 2015, DOI: 10.1007/s10959-015-0653-5