Concentration of the number of real roots of random polynomials
Many statistics of roots of random polynomials have been studied in the literature, but not
much is known on the concentration aspect. In this note we present a systematic study of this …
much is known on the concentration aspect. In this note we present a systematic study of this …
A strong law of large numbers for real roots of random polynomials
YQ Do - arXiv preprint arXiv:2403.06353, 2024 - arxiv.org
We consider random polynomials $ p_n (x)=\xi_0+\xi_1+\dots+\xi_n x^ n $ whose
coefficients are independent and identically distributed with zero mean, unit variance, and …
coefficients are independent and identically distributed with zero mean, unit variance, and …