Zakhar Kabluchko

Zeros and Exponential Profiles of Polynomials I: Limit Distributions, Finite Free Convolutions and Repeated Differentiation

Abstract Given a sequence of polynomials $$(P_n)_{n \in \mathbb {N}}$$ ( P n ) n ∈ N with only nonpositive zeros, the aim of this article is to present a user-friendly approach for determining the limiting zero distribution of $$P_n$$ P n as $$\deg P_n \rightarrow \infty $$ deg P...