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• W2027807138 abstract "By combining ideas of Lubinsky with some soft analysis, we prove that universality and clock behavior of zeros for orthogonal polynomials on the real line in the absolutely continuous spectral region is implied by convergence of (1/n)K_n(x, x) for the diagonal CD kernel and boundedness of the analog associated to second kind polynomials. We then show that these hypotheses are always valid for ergodic Jacobimatrices with absolutely continuous spectrum and prove that the limit of (1/n)K_n(x, x) is ρ_∞(x)/w(x) where ρ_∞ is the density of zeros and w is the absolutely continuous weight of the spectral measure." @default.
• W2027807138 created "2016-06-24" @default.
• W2027807138 creator A5038838154 @default.
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• W2027807138 date "2010-03-04" @default.
• W2027807138 modified "2023-09-23" @default.
• W2027807138 title "Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum" @default.
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• W2027807138 doi "https://doi.org/10.2140/apde.2010.3.81" @default.
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