3 papers
math.PR2026
Random Combinatorial Billiards and Stoned Exclusion Processes
Colin Defant
We introduce and study several random combinatorial billiard trajectories. Such a system, which depends on a fixed parameter , models a beam of light that travels in a E…
math.DS2026
The Minary Primitive of Computational Autopoiesis
Daniel Connor, Colin Defant
We introduce Minary, a computational framework designed as a candidate for the first formally provable autopoietic primitive. Minary represents interacting probabilistic events as…
math.CO2025
Homology in Combinatorial Refraction Billiards
Colin Defant, Derek Liu
Given a graph with vertex set , we can project the graphical arrangement of to an -dimensional torus to obtain a toric hyperplane arrangement. Adams,…