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arXiv · 2604.17123

A model of anisotropic branched optimal transport

Martina Bellettini·Andrea Marchese
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Abstract

We propose a new anisotropic optimal transport model based on the theory of currents, where the anisotropic cost function splits as the product of a factor depending only on the spatial direction and a factor depending only on the multiplicity of the current. We prove that the planar transport problem admits a minimizer. In arbitrary dimension, we show that a minimizer exists provided that the ambient space endowed with the anisotropic norm is hypermetric.

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Martina Bellettini, Andrea Marchese. 2026-04-18. A model of anisotropic branched optimal transport. https://arxiv.org/abs/2604.17123

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