Bulk Universality Holds in Measure for Compactly Supported Measures

نویسنده

  • DORON S. LUBINSKY
چکیده

Let μ be a measure with compact support, with orthonormal polynomials {pn}, and associated reproducing kernels {Kn}. We show that bulk universality holds in measure in {ξ : μ (ξ) > 0}. More precisely, given ε, r > 0, the linear Lebesgue measure of the set of ξ with μ (ξ) > 0 and for which

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تاریخ انتشار 2010