Yan Mary He

collaborators

2 papers

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.DS2023

A Mañé-Manning formula for expanding measures for endomorphisms of $P^{k}$

Fabrizio Bianchi, Yan Mary He

Let $k \geq 1$ be an integer and $f$ a holomorphic endomorphism of $P^{k} (C)$ of algebraic degree $d \geq 2$ . We introduce a volume dimension for ergodic $f$ -invariant…

On a metric view of the polynomial shift locus

A Mañé-Manning formula for expanding measures for endomorphisms of Pk

A Mañé-Manning formula for expanding measures for endomorphisms of $P^{k}$