Assouad dimension of self-affine carpets
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- by John M. Mackay
- Conform. Geom. Dyn. 15 (2011), 177-187
- DOI: https://doi.org/10.1090/S1088-4173-2011-00232-3
- Published electronically: November 2, 2011
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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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Bibliographic 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