S. Arya

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math.MG2026

Duality Bounds for Convexified Packing in Hilbert Geometry

Sunil Arya, David M. Mount

Let $G$ and $K$ be convex bodies in $R^{d}$ , where $0 \in int G$ and $G \subset int K$ . Given $α > 0$ , the Hilbert packing number $M_{H} (G, K; α)$ is the maximum…

math.MG2026

On the Duality of Coverings in Hilbert Geometry

Sunil Arya, David M. Mount

We prove polarity duality for covering problems in Hilbert geometry. Let $G$ and $K$ be convex bodies in $R^{d}$ where $G \subset int (K)$ and $\operatorname{i…