Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-23T13:56:26.950Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)