The eigenvalues of tridiagonal twisted Toeplitz matrices plus small random noise converge to a two-dimensional measure distinct from the Lebesgue push-forward of the symbol.
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Structured perturbations of tridiagonal twisted Toeplitz matrices
The eigenvalues of tridiagonal twisted Toeplitz matrices plus small random noise converge to a two-dimensional measure distinct from the Lebesgue push-forward of the symbol.