15-76 L. Zanelli

Schroedinger dynamics and optimal transport of measures on the torus (343K, pdf) Aug 5, 15

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Abstract. The aim of this paper is to recover displacement interpolations of probability measures, in the sense of the Optimal Transport theory, by semiclassical measures associated with solutions of Schroedinger's equations defined on the flat torus. Under some additional assumptions, we show the completing viewpoint by proving that a family of displacement interpolations can always be viewed as such time dependent semiclassical measures.

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