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arXiv · 2402.04842

A Benamou-Brenier formula for transport distances between stationary random measures

Martin Huesmann·Bastian Müller
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Abstract

We derive a Benamou-Brenier type dynamical formulation for the Wasserstein metric $\mathsf W_p$ between stationary random measures recently introduced in [EHJM23]. A key step is a reformulation of the metric $\mathsf W_p$ using Palm probabilities.

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Martin Huesmann, Bastian Müller. 2024-02-07. A Benamou-Brenier formula for transport distances between stationary random measures. https://arxiv.org/abs/2402.04842

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