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math.CA2019
The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC
Aaron M. Yeager
Let be a sequence of orthonormal polynomials on the unit circle (OPUC) with respect to a probability measure . We study the variance of the number of ze…
math.CA2019
Real Zeros of Random Sums with I.I.D. Coefficients
Aaron M. Yeager
Let be a sequence of entire functions that are real valued on the real-line. We study the expected number of real zeros of random sums of the form $P_n(z)=\sum_{k=0}^nη_k…