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arXiv · 1211.2879

A Simple Method for the Optimal Transportation

Xian-Tao Huang
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Abstract

In this paper we will give a new proof of the monotonicity of Wasserstein distances of two diffusions under super Ricci flow. Our proof is based on the coupling method of B.Andrew and J.Clutterbuck. The same method can also be applied to the contractivity of normalized L-Wasserstein distance under backward Ricci flow.

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Xian-Tao Huang. 2014-01-20. A Simple Method for the Optimal Transportation. https://arxiv.org/abs/1211.2879

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