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Griepentrog, Jens André [Author]; Höppner, Wolfgang [Author]; Kaiser, Hans-Christoph [Author]; Rehberg, Joachim [Author]

A bi-Lipschitz, volume preserving map from the unit ball onto a cube

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  • Media type: Text; E-Book; Report
  • Title: A bi-Lipschitz, volume preserving map from the unit ball onto a cube
  • Contributor: Griepentrog, Jens André [Author]; Höppner, Wolfgang [Author]; Kaiser, Hans-Christoph [Author]; Rehberg, Joachim [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2005
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1048
  • Keywords: 26B10 ; 57R50 ; Lipschitz-homeomorphism -- invariant sets -- measure preserving maps ; 53A55 ; article
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: We construct two bi-Lipschitz, volume preserving maps from Euclidean space onto itself which map the unit ball onto a cylinder and onto a cube, respectively. Moreover, we characterize invariant sets of these mappings.