The spacing of paraorthogonal polynomial zeros is bounded below by a measure's Hausdorff continuity, and sparse Verblunsky coefficients can force clock spacing even for singular continuous measures.
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On the spacing of zeros of paraorthogonal polynomials for singular measures
The spacing of paraorthogonal polynomial zeros is bounded below by a measure's Hausdorff continuity, and sparse Verblunsky coefficients can force clock spacing even for singular continuous measures.