Random Hankel matrix and eigenvalues distribution

I would like to know if there are any theoretical results on the distribution of the eigenvalues of Hankel matrices. I seek a result like the Marchenko–Pastur distribution for random matrices.

• This is studied in the paper by Bryc, Dembo, Jiang (Annals of probability 2006). – Igor Rivin Mar 21 '18 at 2:42