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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Sharp distortion growth for bilipschitz extension of planar maps
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by Leonid V. Kovalev PDF
Conform. Geom. Dyn. 16 (2012), 124-131 Request permission


This note addresses the quantitative aspect of the bilipschitz extension problem. The main result states that any bilipschitz embedding of $\mathbb R$ into $\mathbb R^2$ can be extended to a bilipschitz self-map of $\mathbb R^2$ with a linear bound on the distortion.
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Additional Information
  • Leonid V. Kovalev
  • Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244
  • MR Author ID: 641917
  • Email:
  • Received by editor(s): March 15, 2012
  • Published electronically: April 18, 2012
  • Additional Notes: Supported by the NSF grant DMS-0968756.
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 16 (2012), 124-131
  • MSC (2010): Primary 26B35; Secondary 57N35, 51F99, 54C25
  • DOI:
  • MathSciNet review: 2910744