Optimal Transport

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Abstract

In this preliminary chapter, we introduce the problem of optimal transport, which is the main concept behind Wasserstein spaces. General references on this topic are the books by Rachev and Rüschendorf [107], Villani [124, 125], Ambrosio et al. [12], Ambrosio and Gigli [10], and Santambrogio [119]. This chapter includes only few proofs, when they are simple, informative, or are not easily found in one of the cited references.

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Panaretos, V. M., & Zemel, Y. (2020). Optimal Transport. In SpringerBriefs in Probability and Mathematical Statistics (pp. 1–35). Springer Nature. https://doi.org/10.1007/978-3-030-38438-8_1

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