3 papers
math.CT2026
Categorical Diffusion of Weighted Lattices
Robert Ghrist, Miguel Lopez, Paige Randall North +1
We introduce a categorical formalization of diffusion processes for network-structured data, motivated by applications in data science and information dynamics. At the heart of our…
q-fin.MF2025
Clearing Sections of Lattice Liability Networks
Robert Ghrist, Julian Gould, Miguel Lopez +1
Modern financial networks involve complex obligations that transcend simple monetary debts: multiple currencies, prioritized claims, supply chain dependencies, and more. We present…
math.OC2024
Lattice-Valued Bottleneck Duality
Robert Ghrist, Julian Gould, Miguel Lopez
This note reformulates certain classical combinatorial duality theorems in the context of order lattices. For source-target networks, we generalize bottleneck path-cut and flow-cut…