Schrödinger dynamics and optimal transport of measures
2021 ◽
pp. 2150016
Keyword(s):
In this paper, we recover a class of displacement interpolations of probability measures, in the sense of the Optimal Transport theory, by means of semiclassical measures associated with solutions of Schrödinger equation defined on the flat torus. Moreover, we prove the completing viewpoint by proving that a family of displacement interpolations can always be viewed as a path of time-dependent semiclassical measures.
2021 ◽
Vol 7
(1)
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Keyword(s):
2005 ◽
Vol 50
(8-9)
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pp. 1345-1362
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1993 ◽
Vol 99
(6)
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pp. 4590-4596
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Keyword(s):
1979 ◽
Vol 43
(7)
◽
pp. 512-515
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2014 ◽
Vol 36
(1)
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pp. A1-A19
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