31 citations · 52 across the 21 of their papers we have counts for
21 papers
Topology and Euler characteristics of tropical varieties
Scott Hiatt, Connor Simpson, Botong Wang +1
We study Euler characteristics of tropical subvarieties of tropical abelian varieties. We prove that every H-regular subvariety, locally modeled on tropicalizations of sufficiently…
On determinants of resistance matrices
Harry Richman, Farbod Shokrieh, Chenxi Wu
We prove a new combinatorial identity for the determinant of the resistance matrix of a finite graph, which involves counts of spanning trees and forests. This generalizes a result…
Every Weak Perron Number is an End-Periodic Stretch Factor
Paige Hillen, Marissa Loving, Chenxi Wu
Given any weak Perron number , we construct an end-periodic homeomorphism with Handel-Miller stretch factor equal to where is a connected infinite-typ…
Counting two-forests and random cut size via potential theory
Harry Richman, Farbod Shokrieh, Chenxi Wu
We prove a lower bound on the number of spanning two-forests in a graph, in terms of the number of vertices, edges, and spanning trees. This implies an upper bound on the average c…
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…
Reducible normal generators for mapping class groups are abundant
Hyungryul Baik, Dongryul M. Kim, Chenxi Wu
In this article, we study the normal generation of the mapping class group. We first show that a mapping class is a normal generator if its restriction on the invariant subsurface…
Foliations from left orders
Hyungryul Baik, Sebastian Hensel, Chenxi Wu
We describe a construction which takes as an input a left order of the fundamental group of a manifold, and outputs a (singular) foliation of this manifold which is analogous to a…
On the asymptotic translation lengths on the sphere complexes and the generalized fibered cone
Hyungryul Baik, Dongryul M. Kim, Chenxi Wu
In this paper, we study the asymptotic translation lengths on the sphere complexes of monodromies of a manifold fibered over the circle. Given a compact mapping torus, we define a…
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 \…
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds
Hyungryul Baik, Eiko Kin, Hyunshik Shin +1
Let be a hyperbolic fibered 3-manifold. We study properties of sequences of fibers and monodromies for primitive integral classes in the fibered cone of $M…
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…
Cosmology of gravity
Sante Carloni, João Luís Rosa, José P. S. Lemos
Using dynamical system analysis, we explore the cosmology of theories of order up to eight order of the form . The phase space of these cosmology reveals that higher-…
An upper bound on the asymptotic translation lengths on the curve graph and fibered faces
Hyungryul Baik, Hyunshik Shin, Chenxi Wu
We study the asymptotic behavior of the asymptotic translation lengths on the curve complexes of pseudo-Anosov monodromies in a fibered cone of a fibered hyperbolic 3-manifold …
Canonical measures on metric graphs and a Kazhdan's theorem
Farbod Shokrieh, Chenxi Wu
We extend the notion of canonical measures to all (possibly non-compact) metric graphs. This will allow us to introduce a notion of "hyperbolic measures" on universal covers of met…
An algorithm to compute the Teichmueller polynomial from matrices
Hyungryul Baik, Chenxi Wu
In their precedent work, the authors constructed closed oriented hyperbolic surfaces with pseudo-Anosov homeomorphisms from certain class of integral matrices. In this paper, we pr…
Is a typical bi-Perron number a pseudo-Anosov dilatation?
Hyungryul Baik, Ahmad Rafiqi, Chenxi Wu
In this note, we deduce a partial answer to the question in the title. In particular, we show that asymptotically almost all bi-Perron algebraic unit whose characteristic polynomia…
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…
Rotational component spaces for infinite-type translation surfaces
Lucien Clavier, Anja Randecker, Chenxi Wu
Finite translation surfaces can be classified by the order of their singularities. When generalizing to infinite translation surfaces, however, the notion of order of a singularity…
Constructing pseudo-Anosov maps with given dilatations
Hyungryul Baik, Ahmad Rafiqi, Chenxi Wu
In this paper, we give sufficient conditions for a Perron number, given as the leading eigenvalue of an aperiodic matrix, to be a pseudo-Anosov dilatation of a compact surface. We…
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…