Hongming Nie

activity

20162023

most citedBoundedness of Hyperbolic Components of Newton Maps

4 citations · 13 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DS2020

Quantitative equidistribution of angles of multipliers

Yan Mary He, Hongming Nie

We study angles of multipliers of repelling cycles for hyperbolic rational maps in $C (z)$ . For a fixed $K ≫ 1$ , we show that almost all intervals of length $2 π / K$ in $(-π…

math.NT2020

Resultant measures and minimal resultant loci for non-archimedean polynomial dynamics

Hongming Nie, Yûsuke Okuyama

We compute the resultant measures for iterations $P^{j}$ , $j \geq 1$ , of a polynomial $P$ of degree $> 1$ on the $n$ -th level Trucco's trees $Γ_{n}$ , $n \geq 0$ , in the Berkovich projective…

math.DS2020★ 1 cited

A Riemannian metric on polynomial hyperbolic components

Yan Mary He, Hongming Nie

We introduce a Riemannian metric on certain hyperbolic components in the moduli space of degree $d \geq 2$ polynomials. Our metric is constructed by considering the measure-theoreti…