Assouad dimension of self-affine carpets
Author:
John M. Mackay
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
Published electronically:
November 2, 2011
MathSciNet review:
2846307
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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.
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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
Email:
john.mackay@maths.ox.ac.uk
DOI:
https://doi.org/10.1090/S1088-4173-2011-00232-3
Keywords:
Assouad dimension,
conformal Assouad dimension,
Bedford-McMullen carpets
Received by editor(s):
July 23, 2010
Published electronically:
November 2, 2011
Article copyright:
© Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
