Geodesic
On almost sure convergence of spectral distribution of power of random matrices to Fuss--Catalan distribution
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 16, Tome 384 (2010), pp. 21-28

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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. 
@article{ZNSL_2010_384_a1,
     author = {N. V. Alexeev},
     title = {On almost sure convergence of spectral distribution of power of random matrices to {Fuss--Catalan} distribution},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {21--28},
     publisher = {mathdoc},
     volume = {384},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a1/}
}
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N. V. Alexeev. On almost sure convergence of spectral distribution of power of random matrices to Fuss--Catalan distribution. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 16, Tome 384 (2010), pp. 21-28. http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a1/