关于 Kantorovich 输运距离的量化 Cramér-Wold 连续性定理
概率论
2026-01-14 v3
摘要
多维欧几里得空间上概率测度之间的 Kantorovich 输运距离的上界由一维投影之间的输运距离给出。这量化了概率测度弱收敛的 Cramér-Wold 连续性定理。
引用
@article{arxiv.2412.10276,
title = {Quantified Cram\'er-Wold Continuity Theorem for the Kantorovich Transport Distance},
author = {Sergey G. Bobkov and Friedrich Götze},
journal= {arXiv preprint arXiv:2412.10276},
year = {2026}
}
备注
Added more references and revised discussion of previous results