Fluctuations for analytic test functions in the Single Ring Theorem
نویسندگان
چکیده
منابع مشابه
Fluctuations for Analytic Test Functions in the Single Ring Theorem
We consider a non-Hermitian random matrix A whose distribution is invariant under the left and right actions of the unitary group. The so-called Single Ring Theorem, proved by Guionnet, Krishnapur and Zeitouni [31], states that the empirical eigenvalue distribution of A converges to a limit measure supported by an annulus S. In this text, we establish the convergence in distribution of random v...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2017
ISSN: 0022-2518
DOI: 10.1512/iumj.2017.66.6142