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Title: Variance of Real Zeros of Random Orthogonal Polynomials
We determine the asymptotics for the variance of the num-ber of zeros of random linear combinations of orthogonal polynomials ofdegreenin subintervals[a;b]of the support of the underlying orthog-onality measure. We show that, asn!1, this variance is asymptotictocn, for some explicit constantc  more » « less
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Journal of mathematical analysis and applications
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National Science Foundation
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