4 papers
The Global Topology of Orthogonally Decomposable Tensor Landscapes
Chunyin Siu
The homogeneous form associated with a symmetric tensor, restricted to the sphere, is the objective of the best rank-one approximation problem and, with random coefficients, the en…
The Topological Behavior of Preferential Attachment Graphs
Chunyin Siu
We investigate the higher-order connectivity of scale-free networks using algebraic topology. We model scale-free networks as preferential attachment graphs, and we study the algeb…
Decomposition of Longitudinal Deformations via Beltrami Descriptors
Ho Law, Lok Ming Lui, Chun Yin Siu
We present a mathematical model to decompose a longitudinal deformation into normal and abnormal components. The goal is to detect and extract subtle quivers from periodic motions…
Geometry and Laplacian on Discrete Magic Carpets
Eric Goodman, Chun-Yin Siu, Robert S. Strichartz
We study several variants of the classical Sierpinski Carpet (SC) fractal. The main examples we call infinite magic carpets (IMC), obtained by taking an infinite blowup of a discre…