12 citations · 18 across the 7 of their papers we have counts for
8 papers
Geodesic planes in the convex core of an acylindrical 3-manifold
Curtis T. McMullen, Amir Mohammadi, Hee Oh
Let be a convex cocompact acylindrical hyperbolic 3-manifold of infinite volume, and let denote the interior of the convex core of . In this paper we show that any geo…
On the postcritical set of a rational map
Laura G. DeMarco, Sarah C. Koch, Curtis T. McMullen
The postcritical set of a rational map is the smallest forward invariant subset of that contains the critical values of . In…
Almost simple geodesics on the triply punctured sphere
Moira Chas, Curtis T. McMullen, Anthony Phillips
Every closed hyperbolic geodesic on the triply--punctured sphere has a self--intersection number and a combinatorial leng…
Trees and the dynamics of polynomials
Laura G. DeMarco, Curtis T. McMullen
The basin of infinity of a polynomial map $f : {\bf C} \arrow {\bf C}$ carries a natural foliation and a flat metric with singularities, making it into a metrized Riemann surface $…
The moduli space of Riemann surfaces is Kahler hyperbolic
Curtis T. McMullen
Let $\cM_{g,n}$ be the moduli space of Riemann surfaces of genus with punctures. From a complex perspective, moduli space is hyperbolic. For example, $\cM_{g,n}$ is abundan…
Frontiers in complex dynamics
Curtis T. McMullen
Rational maps on the Riemann sphere occupy a distinguished niche in the general theory of smooth dynamical systems. First, rational maps are complex-analytic, so a broad spectrum o…