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.

collaborators

Showing math.OCShow all

3 papers · 1 filter

math.OC2026

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 $\…

math.OC2026

The Coercive Projection Theorem for Canonical Reciprocal Costs

Jonathan Washburn, Amir Rahnamai Barghi

We develop a finite-data framework for certifying \emph{zero-defect} (neutral) configurations of positive vectors under the canonical separable reciprocal cost. We show that this s…

math.OC2026

Reciprocal Convex Costs for Ratio Matching: Functional-Equation Characterization and Decision Geometry

Jonathan Washburn, Amir Rahnamai Barghi

We study ratio-induced mismatch costs of the form $c (s, o) = J (I^_{S}^{1} (s) / I^_{O}^{1} (o))$ , built from positive scale maps $I^_{S}^{1} : S \to (0, \infty)$ and $I^_{O}^{1} : O \to (0, \infty)$ and a penalty $J:(0,\i…