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Self-Affine Carpets on the Square Lattice

Published online by Cambridge University Press:  01 June 1997

IRENE HUETER  and
YUVAL PERES
IRENE HUETER
Affiliation:
Department of Statistics, University of California at Berkeley, Berkeley, CA 94720-0001, USA
YUVAL PERES
Affiliation:
Department of Statistics, University of California at Berkeley, Berkeley, CA 94720-0001, USA
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Abstract

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We explore the ‘Hausdorff dimension at infinity’ for self-affine carpets defined on the square lattice. This notion of dimension (due to Barlow and Taylor), which is the correct notion from a probabilistic perspective, differs for these sets from more ‘naive’ indices of fractal dimension.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 6 , Issue 2 , June 1997 , pp. 197 - 204
Copyright
1997 Cambridge University Press