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Continuity and injectivity of optimal maps - MaRDI portal

Continuity and injectivity of optimal maps (Q2017811)

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scientific article; zbMATH DE number 6418475
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Continuity and injectivity of optimal maps
scientific article; zbMATH DE number 6418475

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    Continuity and injectivity of optimal maps (English)
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    23 March 2015
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    The author presents here an original proof regarding the continuity and injectivity of optimal maps (solutions to Monge problem \(C(T):=\int_{\mathbb{R}^n} c(x,T(x))f(x)dx\)).
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    Monge problem
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    optimal transport
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    optimal map
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    continuity
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    injectivity
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    Alexandrov-type estimates
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