Limiting spectral distribution of a special circulant

By Arup Bose, J. Mitra. 2002

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Spectral measure of large random Hankel, Markov and Toeplitz matrices (2003, result): “This differs from the analogous results for random circulant matrices (see [4]), a fact that has been independently noticed also in references [3, 11].”
On the spectral norm of a random Toeplitz matrix (2007, background): “We remark that [2, 15] show that each of these ensembles, properly scaled and with some additional assumptions, have a limiting spectral distribution which is normal.”
Another look at the moment method for large dimensional random matrices (2008, background): “Assuming that E|xi|(3) < ∞, Bose and Mitra (2003) [6] showed that the LSD R of 1 √nRCn has the density, fR(x) = |x| exp(−x(2)), −∞ < x < ∞ with moments β2k+1(R) = 0 and β2k(R) = k! for all k ≥ 0.”