Bulk Universality Holds Pointwise in the Mean, for Compactly Supported Measures
نویسنده
چکیده
Let μ be a measure with compact support, with orthonormal polynomials {pn}, and associated reproducing kernels {Kn}. We show that without any global assumptions on the measure, a weak local condition leads to the bulk universality limit in the mean. For example, if μ ≥ C > 0 in some open interval J , then at each Lebesgue point ξ of J , and for each r > 0,
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تاریخ انتشار 2011