Eigenvalues of Toeplitz matrices in the bulk of the spectrum
  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. 
P. Deift, A. Its, I. Krasovsky
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