4 papers
Oriented and Valuated Delta Matroids from Stable Polynomials
Tracy Chin
Stable polynomials are the natural multivariate generalization of real rooted univariate polynomials. While their definition is purely algebraic in nature, they have deep connectio…
Symmetric Lorentzian Polynomials
Tracy Chin, Daniel Qin
We study the class of Lorentzian symmetric polynomials and Lorentzian symmetric functions, which are defined to be symmetric functions for which every truncation of variables is Lo…
Real Stability and Log Concavity are coNP-Hard
Tracy Chin
Real-stable, Lorentzian, and log-concave polynomials are well-studied classes of polynomials, and have been powerful tools in resolving several conjectures. We show that the proble…
Enabling equation-free modeling via diffusion maps
Tracy Chin, Jacob Ruth, Clayton Sanford +3
Equation-free modeling aims at extracting low-dimensional macroscopic dynamics from complex high-dimensional systems that govern the evolution of microscopic states. This algorithm…