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arxiv: 1211.2879 · v2 · pith:32VC2TY2new · submitted 2012-11-13 · 🧮 math.DG

A Simple Method for the Optimal Transportation

classification 🧮 math.DG
keywords methodflowproofricciunderandrewappliedbackward
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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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