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Zapiski Nauchnykh Seminarov 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
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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.
Received: 08.11.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 2, Pages 112–116
DOI: https://doi.org/10.1007/s10958-011-0404-9
Bibliographic databases:
Document Type: Article
UDC: 519.1+519.2
Language: Russian
Citation: N. V. Alexeev, “On almost sure convergence of spectral distribution of power of random matrices to Fuss–Catalan distribution”, Probability and statistics. Part 16, Zap. Nauchn. Sem. POMI, 384, POMI, St. Petersburg, 2010, 21–28; J. Math. Sci. (N. Y.), 176:2 (2011), 112–116
Citation in format AMSBIB
\Bibitem{Ale10}
\by N.~V.~Alexeev
\paper On almost sure convergence of spectral distribution of power of random matrices to Fuss--Catalan distribution
\inbook Probability and statistics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 384
\pages 21--28
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3883}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 2
\pages 112--116
\crossref{https://doi.org/10.1007/s10958-011-0404-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959560319}
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