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This œuvre, Some geometric consequences of the Schrödinger problem, by Christian Léonard is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Some geometric consequences of the Schrödinger problem


Some geometric consequences of the Schrödinger problem
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This note presents a short review of the Schrödinger problem and of the first steps that might lead to interesting consequences in terms of geometry. We stress the analogies between this entropy minimization problem and the renowned optimal transport problem, in search for a theory of lower bounded curvature for metric spaces, including discrete graphs.
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Some geometric consequences of the Schrödinger problem
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