English

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

Functional Analysis 2023-09-19 v1

Abstract

These notes present a basic survey on Transportation cost spaces (aka Lipschitzfree spaces, Wasserstein spaces) and their bi-Lipschitz and linear embeddings into L1L_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.

Keywords

Cite

@article{arxiv.2309.09313,
  title  = {Transportation cost spaces and their embeddings into $L_1$, a Survey},
  author = {Thomas Schlumprecht},
  journal= {arXiv preprint arXiv:2309.09313},
  year   = {2023}
}