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math.PR2020
Dynamics of zeroes under repeated differentiation
Jeremy Hoskins, Zakhar Kabluchko
Consider a random polynomial of degree whose roots are independent random variables sampled according to some probability distribution on the complex plane $\mathbb…
math.PR2020
A Semicircle Law for Derivatives of Random Polynomials
Jeremy G. Hoskins, Stefan Steinerberger
Let be independent and identically distributed random variables with mean zero, unit variance, and finite moments of all remaining orders. We study the random…