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We determine the asymptotics for the variance of the number of zeros ofrandom linear combinations of orthogonal polynomials of degree $\leq n$ insubintervals $\left [ a,b\right ] $ of the support of the underlyingorthogonality measure $\mu $. We show that, as $n\rightarrow \infty $, thisvariance is asymptotic to $cn$, for some explicit constant $c>0$.

Variance of real zeros of random orthogonal polynomials