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    • Expected number of real zeros for random orthogonal polynomials 

      Lubinsky, Doron S; Pritsker, Igor E; Xie, Xiaoju (Cambridge University Press (CUP), 2015-07-05)
      We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d. Gaussian coefficients, have only (2/π + o(1))logn ...