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arXiv · 2309.09313

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

Thomas Schlumprecht
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Abstract

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.

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Thomas Schlumprecht. 2023-09-17. Transportation cost spaces and their embeddings into $L_1$, a Survey. https://arxiv.org/abs/2309.09313

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