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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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Assouad dimension of self-affine carpets
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by John M. Mackay PDF
Conform. Geom. Dyn. 15 (2011), 177-187 Request permission

Abstract:

We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.
References
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Additional Information
  • John M. Mackay
  • Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • Address at time of publication: Mathematical Institute, 24-29 St Giles’, Oxford OX1 3LB, United Kingdom
  • MR Author ID: 845756
  • Email: john.mackay@maths.ox.ac.uk
  • Received by editor(s): July 23, 2010
  • Published electronically: November 2, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 15 (2011), 177-187
  • MSC (2010): Primary 28A78; Secondary 28A80, 37F35
  • DOI: https://doi.org/10.1090/S1088-4173-2011-00232-3
  • MathSciNet review: 2846307