5 papers
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…
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…
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 infinit…
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…
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…