Real roots of random orthogonal polynomials with exponential weights

Yen Do, Doron Lubinsky, Hoi H. Nguyen +2

We consider random orthonormal polynomials $$P_n(x)=\sum _{i=0}^n{\xi }_i{p}_i(x),$$ where ${\xi }_0$, . . . , ${\xi }_n$ are independent random variables with zero mean, unit variance…