3 papers
math.OC2026
Exact Decision and a Surjective Stabilizer Atlas for Affine Coprime-Factor Segments
Junkai Qiu
We consider simultaneous internal stabilization of square proper real-rational plants of arbitrary but fixed finite input-output dimension , arranged as an affine right-coprime…
math.NA2026
A counterexample to vertex interpolation by planar cubic splines
Junkai Qiu
We construct a nondegenerate conforming straight-line triangulation of a polygonal disk on which some vertex data admit no continuously differentiable piecewise polynomial interpol…
math.CO2026
Infinite rational distance sets in affine general position: constructions in every dimension
Junkai Qiu
For every integer , we construct a countably infinite set in affine general position, with all pairwise distances rational. When is odd, …