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Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions

Functional Analysis 2025-12-23 v1 Probability

Abstract

Energy bounds for Kantorovich transport distances are developed for convex cost functions. The main results extend estimates due to M. Ledoux for the Kantorovich distances WpW_p.

Keywords

Cite

@article{arxiv.2512.18324,
  title  = {Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions},
  author = {Sergey Bobkov and Friedrich Götze},
  journal= {arXiv preprint arXiv:2512.18324},
  year   = {2025}
}