Limit Distribution of Eigenvalues for Random Hankel and Toeplitz Band Matrices

Dang-Zheng Liu, Zheng-Dong Wang

Consider real symmetric, complex Hermitian Toeplitz and real symmetric Hankel band matrix models, where the bandwidth $b_{N}\ra \iy$ but $b_N/N\to b$, $b\in [0,1]$ as $N\to \inf…