English

A Benamou-Brenier formulation for the multi-marginal optimal transport problem with infimal convolution cost

Optimization and Control 2025-12-16 v1

Abstract

We present a dynamical version for the multi-marginal optimal transport problem with infimal convolution cost, using the theory of Wasserstein barycentres. We show, how our formulation relates to the dynamical version of the multi-marginal optimal transport problem developed by Pass and Shenfeld (arXiv:2509.22494v2).

Keywords

Cite

@article{arxiv.2512.12555,
  title  = {A Benamou-Brenier formulation for the multi-marginal optimal transport problem with infimal convolution cost},
  author = {Friedemann Krannich},
  journal= {arXiv preprint arXiv:2512.12555},
  year   = {2025}
}

Comments

7 pages

R2 v1 2026-07-01T08:23:48.864Z