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The generalized Gaussian log-Minkowski problem

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arxiv 2401.08427 v5 pith:YDCQSQEW submitted 2024-01-16 math.MG

Jinrong Hu This is my paper · ORCID
classification math.MG
keywords gaussiangeneralizeddistributionlog-minkowskiproblemassociatedinformationintroduced
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The generalized Gaussian distribution that stems from information theory is studied. The log-Minkowski problem associated with generalized Gaussian distribution shall be introduced and solved.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Gaussian Minkowski-type problems for $C$-pseudo-cones

    math.MG 2025-01 conditional novelty 7.0 of 10

    New existence and conditional uniqueness theorems for Gaussian Minkowski and log-Minkowski problems on C-pseudo-cones.

  2. The even Lp Gaussian dual Minkowski problem

    math.FA 2024-12 reject novelty 4.0 of 10

    For p,q>1, an origin-symmetric convex body is claimed to exist whose normalized Lp Gaussian dual curvature measure matches any given even density measure, up to total mass scaling.

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