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arXiv · 2505.09232

Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument

Jo{ã}o Miguel Machado
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Abstract

In the present work we prove that minimizers of the Wasserstein-$\mathscr{H}^1$ problem, introduced recently by Chambolle et. al., are trees in two cases: when the target measure is a sum of finitely many Dirac masses or when it has a bounded density.

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Jo{ã}o Miguel Machado. 2025-05-14. Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument. https://arxiv.org/abs/2505.09232

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