1 citations · 1 across the 5 of their papers we have counts for
5 papers
Reciprocal Cost on the Positive Rationals
Jonathan Washburn, Sebastian Pardo-Guerra, Milan Zlatanović
We study nonnegative solutions of the reciprocal cost law on the positive rationals and determine which of them admit regular extensions to the positive reals. Using the substituti…
d'Alembert's Functional Equation and a Globally Convex Free-Action Principle on Positive Paths
Sebastian Pardo-Guerra, Jonathan Washburn
We study the kinetic action that d'Alembert's functional equation induces on positive paths in $\Rplus$, and prove it strongly convex. Calibrated d'Alembert forces the cosh cost $\…
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs
Sebastian Pardo-Guerra, Anil Thapa, Jonathan Washburn
Let be a finite connected simple graph with a chosen orientation of its edges. For the edge potential we minimize over each affine c…
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…
Coherent Comparison as Information Cost: A Cost-First Ledger Framework for Discrete Dynamics
Sebastian Pardo-Guerra, Megan Simons, Anil Thapa +1
We develop an information-theoretic framework for discrete dynamics grounded in a comparison-cost functional on ratios. Given two quantities compared via their ratio \(x=a/b\), we…