Geodesic
The distribution of the eigenvalues of random cyclic matrices
Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 355-357

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Ensembles of random Hermitian cyclic matrices are considered. The density function of the eigenvalues is found to be Gaussian provided the ensemble being Gaussian. 
@article{TVP_1969_14_2_a17,
     author = {V. M. Dubner},
     title = {The distribution of the eigenvalues of random cyclic matrices},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {355--357},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a17/}
}
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V. M. Dubner. The distribution of the eigenvalues of random cyclic matrices. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 355-357. http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a17/