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arXiv 2309.09313math.FA
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运输成本空间及其到 $L_1$ 的嵌入综述

Transportation cost spaces and their embeddings into $L_1$, a Survey

Thomas Schlumprecht

AI总结:

本文综述运输成本空间及其到 $L_1$ 空间的双Lipschitz嵌入与线性嵌入,并在附录中补充计算图论相关证明。

摘要:

本文对运输成本空间(又称Lipschitz自由空间、Wasserstein空间)及其到 $L_1$ 空间的双Lipschitz嵌入和线性嵌入作基础性综述。为使内容尽可能自足,我们在附录中补充了计算图论中若干相关结果的证明。

英文摘要:

These notes present a basic survey on Transportation cost spaces (aka Lipschitzfree spaces, Wasserstein spaces) and their bi-Lipschitz and linear embeddings into $L_1$ spaces. To make these notes as self-contained as possible, we added the proofs of several relevant results from computational graph theory in the appendix.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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