Browsing OSU Dissertations by Author "Xie, Xiaoju"
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Statistics of the number of real zeros of random orthogonal polynomials
Xie, Xiaoju (2016-05)We study the expected number of real zeros for random linear combinations of orthogonal polynomials Pn(x)=sum_{j=0}^n cjpj(x), where {pj(x)}{j=0}^\infinity is a set of orthonormal polynomials with respect to some measure, ...