Yan Mary He

activity

20202026

collaborators

5 papers

math.AG2026

Tropicalizing polynomial strata

Yan Mary He, Chenxi Wu

Let $Poly_{D} (μ^{*})$ be the ramification stratum in the parameter space of degree $D \geq 2$ complex polynomials consisting of polynomials with ramification profile $\vecμ^*…

math.DS2025

Multifractal Analysis of Equilibrium States of Endomorphisms of $P^{k}$

Nathan Dalaklis, Yan Mary He

Let $f$ be a holomorphic endomorphism of $C P^{k}$ of algebraic degree at least $2$ and let $X \subseteq C P^{k}$ be an uniformly expanding set. In th…

math.DS2024

Dimension of equilibrium measures for complex maps

Snir Ben Ovadia, Yan Mary He

For certain families of complex maps, we give a formula for the Hausdorff dimension of the equilibrium measure. In particular, given an endomorphism $f$ of $C P^{k}$ o…

math.DS2023

On a metric view of the polynomial shift locus

Yan Mary He, Hongming Nie

We relate generic points in the shift locus $S_{D}$ of degree $D \geq 2$ polynomials to metric graphs. Using thermodynamic metrics on the space of metric graphs, we obtain a…

math.DS2020

Quantitative equidistribution of angles of multipliers