31 citations · 52 across the 21 of their papers we have counts for
6 papers · 1 filter
Master Teapots and Entropy Algorithms for the Mandelbrot Set
Kathryn Lindsey, Giulio Tiozzo, Chenxi Wu
We construct an analogue of W. Thurston's "Master teapot" for each principal vein in the Mandelbrot set, and generalize geometric properties known for the corresponding object for…
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 \…
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…
Lattice Surfaces and smallest triangles
Chenxi Wu
We calculate the area of the smallest triangle and the area of the smallest virtual triangle for many known lattice surfaces. We show that our list of the lattice surfaces for whic…
Uniform Discreteness of the Holonomy vectors of translation surfaces
Chenxi Wu
We answered a question by Barak Weiss on the uniform discreteness of the holonomy vectors of translation surfaces.
The relative cohomology of abelian covers of the flat pillowcase
Chenxi Wu
We calculate the action of the group of affine diffeomorphisms on the relative cohomology of square-tiled surfaces that are normal abelian covers of the flat pillowcase, and as an…