Jonathan Washburn

works on

affine connections 1 almost product structure 1 curvature 1 golden structure 1 hessian manifolds 1 metallic structure 1

From the 1 of 21 linked papers with an AI index.

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math.CO2026

The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs

Sebastian Pardo-Guerra, Anil Thapa, Jonathan Washburn

Let $G$ be a finite connected simple graph with a chosen orientation of its edges. For the edge potential $I ¨ (t) = cosh t - 1,$ we minimize $\sum_{e \in E^{\to}} I ¨ (z_{e})$ over each affine…

math.CO2026

Matching Rules as Cocycle Conditions: Discrete Potentials on Penrose and Canonical Projection Tilings

Sebastian Pardo-Guerra, Jonathan Washburn, Elshad Allahyarov

Aperiodic tilings support two classically studied but hitherto separately presented structures: matching rules, which enforce global order via local constraints, and height functio…