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- W2089200265 abstract "Let μ be a measure with compact support. Assume that ξ is a Lebesgue point of μ and that μ′ is positive and continuous at ξ. Let {An} be a sequence of positive numbers with limit ∞. We show that one can choose ξn∈[ξ−Ann,ξ+Ann] such that limn→∞Kn(ξn,ξn+aK̃n(ξn,ξn))Kn(ξn,ξn)=sinπaπa, uniformly for a in compact subsets of the plane. Here Kn is the nth reproducing kernel for μ, and K̃n is its normalized cousin. Thus universality in the bulk holds on a sequence close to ξ, without having to assume that μ is a regular measure. Similar results are established for sequences of measures." @default.
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- W2089200265 date "2011-07-01" @default.
- W2089200265 modified "2023-10-16" @default.
- W2089200265 title "Universality in the bulk holds close to given points" @default.
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- W2089200265 doi "https://doi.org/10.1016/j.jat.2009.11.004" @default.
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