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math.PR2024
A Benamou-Brenier formula for transport distances between stationary random measures
Martin Huesmann, Bastian Müller
We derive a Benamou-Brenier type dynamical formulation for the Wasserstein metric between stationary random measures recently introduced in [EHJM23]. A key step is a…
math.PR2023★ 1 cited
Transportation of random measures not charging small sets
Martin Huesmann, Bastian Müller
Let be a pair of jointly stationary, ergodic random measures of equal finite intensity. A balancing allocation is a translation-invariant (equivariant) map $T:\mathbb{R}^d\…