Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations

Terence Tao

Type: Erratum

Publication Date: 2013-06-27

Citations: 4

DOI: https://doi.org/10.1007/s00440-013-0513-0

Abstract

The demonstration of a key lemma in this is only valid in the sense of convergence in probability instead of in the almost sure sense. However, a refinement of the argument, which we give here, can be used to give convergence in the almost sure sense. In this erratum we report an issue in the originally published article that was pointed out to us by David Renfrew and Sean O’Rourke. Specifically, Lemma 2.3 of that paper asserts a bound 〈( 1 √ n Xn )m un, vn 〉 = o(1)

Locations

Probability Theory and Related Fields - View - PDF
Probability Theory and Related Fields - View - PDF
Probability Theory and Related Fields - View - PDF

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