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math.APJan 1, 2021
authors
  • Karoly J. Boroczky
  • Apratim De
arXiv abstractPDF
paper

Stable solution of the log-Minkowski problem in the case of many hyperplane symmetries

arXiv:2101.03395

Abstract

In the case of symmetries with respect to n independent linear hyperplanes, the stability of the solution of the Logarithmic Minkowski problem on S^{n-1} is established.

References in corpus (9)

  • The Logarithmic Minkowski Problem
  • Relative entropy of cone measures and Lp​ centroid bodies
  • On the uniqueness of Lp​-Minkowski problems: the constant p-curvature case in R3
  • Invariances in variance estimates
  • Local Lp-Brunn-Minkowski inequalities for p<1
  • A letter: The log-Brunn-Minkowski inequality for complex bodies
  • Flow by the power of the Gauss curvature
  • Stability of the log-Brunn-Minkowski inequality in the case of many hyperplane symmetries
  • Non-uniqueness of solutions to the dual Lp​-Minkowski problem
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