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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 384, Pages 21–28 (Mi znsl3883)

On almost sure convergence of spectral distribution of power of random matrices to Fuss–Catalan distribution

N. V. Alexeev

St. Petersburg State University, St. Petersburg, Russia

Abstract: In the paper we considered a power of a non-Hermitian random matrix and proved that the empirical distribution of its singular values converges to Fuss–Catalan distribution almost surely. Bibl. 3 titles.

Key words and phrases: random matrices, asymptotic spectral distribution, Fuss–Catalan numbers.

UDC: 519.1+519.2

Received: 08.11.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 176:2, 112–116

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