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arXiv · 2512.18324

Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions

Sergey Bobkov·Friedrich Götze
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Abstract

Energy bounds for Kantorovich transport distances are developed for convex cost functions. The main results extend estimates due to M. Ledoux for the Kantorovich distances $W_p$.

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Sergey Bobkov, Friedrich Götze. 2025-12-20. Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions. https://arxiv.org/abs/2512.18324

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