S tructure of average distance minimizers in general dimensi ons

Lucas O’Brien, Forest Kobayashi, Young-Heon Kim,Structure of average distance minimizers in general dimensions , arXiv ( · 2025 · arXiv 2503.23256

2 Pith papers cite this work. Polarity classification is still indexing.

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math.OC · 2026-06-29 · unverdicted · novelty 7.0

Proves the Buttazzo-Oudet-Stepanov conjecture on the structure of optimal free Dirichlet regions for the average distance problem in all dimensions.

math.AP · 2025-05-14 · unverdicted · novelty 6.0

Proves that minimizers of the Wasserstein-H^1 problem are trees for finite Dirac targets or bounded-density measures.

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On the structure of optimal free Dirichlet regions in mass transportation problems math.OC · 2026-06-29 · unverdicted · none · ref 19
Proves the Buttazzo-Oudet-Stepanov conjecture on the structure of optimal free Dirichlet regions for the average distance problem in all dimensions.