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• W1557103666 abstract "By combining some ideas of Lubinsky with some soft analysis, we prove that universality and clock behavior of zeros for OPRL in the a.c. spectral region is implied by convergence of $frac{1}{n} K_n(x,x)$ 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 Jacobi matrices with a.c. spectrum and prove that the limit of $frac{1}{n} K_n(x,x)$ is $rho_infty(x)/w(x)$ where $rho_infty$ is the density of zeros and $w$ is the a.c. weight of the spectral measure." @default.
• W1557103666 created "2016-06-24" @default.
• W1557103666 creator A5038838154 @default.
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• W1557103666 date "2008-10-18" @default.
• W1557103666 modified "2023-09-27" @default.
• W1557103666 title "Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices with A.C. Spectrum" @default.
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• W1557103666 hasPublicationYear "2008" @default.
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