9 citations · 12 across the 6 of their papers we have counts for
7 papers · 1 filter
Bicritical rational maps with a common iterate
Sarah Koch, Kathryn Lindsey, Thomas Sharland
Let be a degree bicritical rational map with critical point set and critical value set . Using the group of deck transfo…
A characterization of Thurston's Master Teapot
Kathryn Lindsey, Chenxi Wu
We prove an explicit characterization of the points in Thurston's Master Teapot. This description can be implemented algorithmically to test whether a point in $\mathbb{C} \times \…
Degree-d-invariant laminations
William P. Thurston, Hyungryul Baik, Yan Gao +4
Degree--invariant laminations of the disk model the dynamical action of a degree- polynomial; such a lamination defines an equivalence relation on that corresponds to d…
The Shape of Thurston's Master Teapot
Harrison Bray, Diana Davis, Kathryn Lindsey +1
We establish basic geometric and topological properties of Thurston's Master Teapot and the Thurston set for superattracting unimodal self-maps of intervals. In particular, the Mas…
Shapes of polynomial Julia sets, revisited
Kathryn A. Lindsey
Any finite union of disjoint, mutually exterior Jordan curves in the complex plane can be approximated arbitrarily well in the Hausdorff topology by polynomial Julia sets. Furtherm…
Counting invariant components of hyperelliptic translation surfaces
Kathryn Lindsey
The flow in a fixed direction on a translation surface S determines a decomposition of S into closed invariant sets, each of which is either periodic or minimal. We study this deco…