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arXiv · 1712.03670

Existence of optimal transport maps in very strict $CD(K,\infty)$ -spaces

Timo Schultz
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Abstract

We introduce a more restrictive version of the strict $CD(K,\infty)$ -condition, the so-called very strict $CD(K,\infty)$ -condition, and show the existence of optimal maps in very strict $CD(K,\infty)$ -spaces despite the possible lack of uniqueness of optimal plans.

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Timo Schultz. 2017-12-11. Existence of optimal transport maps in very strict $CD(K,\infty)$ -spaces. https://arxiv.org/abs/1712.03670

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