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The Minkowski problem in the Gaussian probability space

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arxiv 2010.00395 v2 pith:XBDJYI2C submitted 2020-10-01 math.MG

classification math.MG
keywords problemgaussianminkowskiexistenceprobabilityspaceadditioncurrent
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The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normalized version of this problem, the main goal of the current work is to provide uniqueness and existence results on the Gaussian Minkowski problem (with no normalization required).

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