1110.4089 (P. Deift et al.)

Eigenvalues of Toeplitz matrices in the bulk of the spectrum    [PDF]

P. Deift, A. Its, I. Krasovsky

The authors analyze the asymptotics of eigenvalues of Toeplitz matrices with certain continuous and discontinuous symbols. In particular, the authors prove a conjecture of Levitin and Shargorodsky on the near-periodicity of Toeplitz eigenvalues.

View original: http://arxiv.org/abs/1110.4089