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.
CITATION STYLE
Léonard, C. (2015). Some geometric consequences of the schrödinger problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 60–68). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_7
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