56 citations · 98 across the 21 of their papers we have counts for
4 papers · 1 filter
Critical heights on the moduli space of polynomials
Laura DeMarco, Kevin Pilgrim
Let be the moduli space of one-dimensional complex polynomial dynamical systems. The escape rates of the critical points determine a critical heights map $G: M_d \to \mathbb{…
Preperiodic points and unlikely intersections
Matthew Baker, Laura DeMarco
In this article, we combine complex-analytic and arithmetic tools to study the preperiodic points of one-dimensional complex dynamical systems. We show that for any fixed complex n…
Enumerating the basins of infinity of cubic polynomials
Laura DeMarco, Aaron Schiff
We study the dynamics of cubic polynomials restricted to their basins of infinity, and we enumerate topological conjugacy classes with given combinatorics.
Polynomial basins of infinity
Laura DeMarco, Kevin Pilgrim
We study the projection which sends an affine conjugacy class of polynomial to the holomorphic conjugacy class of the restriction of $…