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

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

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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Veröffentlicht in:arXiv.org 2024-02
Hauptverfasser: Huesmann, Martin, Müller, Bastian
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422