4 citations · 5 across the 6 of their papers we have counts for
10 papers
Nonarchimedean Lyapunov exponents of polynomials
Hongming Nie
Let be an algebraically closed and complete nonarchimedean field with characteristic and let be a polynomial of degree . We study the Lyapunov exponent…
Quantitative equidistribution of angles of multipliers
Yan Mary He, Hongming Nie
We study angles of multipliers of repelling cycles for hyperbolic rational maps in . For a fixed , we show that almost all intervals of length in $(-π…
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 polynomials. Our metric is constructed by considering the measure-theoreti…
Perturbations of graphs for Newton maps
Yan Gao, Hongming Nie
We study the convergence of graphs consisting of finitely many internal rays for degenerating Newton maps. We state a sufficient condition to guarantee the convergence. As an appli…
Bounded hyperbolic components of bicritical rational maps
Hongming Nie, Kevin M. Pilgrim
We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli space of bicritical…
Indeterminacy loci of iterate maps in moduli space
Jan Kiwi, Hongming Nie
The moduli space of rational maps in one complex variable of degree has a natural compactification by a projective variety pr…