2 papers
math.PR2025
Asymptotic root distribution of polynomials under repeated polar differentiation
Daniel Perales, Zhiyuan Yang
Given a sequence of real rooted polynomials with a fixed asymptotic root distribution, we study the asymptotic root distribution of the repeated polar derivativ…
math.OA2023
An Operator-Valued Haagerup Inequality for Hyperbolic Groups
Ryo Toyota, Zhiyuan Yang
We study an operator-valued generalization of the Haagerup inequality for Gromov hyperbolic groups. In 1978, U. Haagerup showed that if is a function on the free group $\mathbb…