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Subadditive pressure for triangular maps
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Manning, Anthony and Simon, K. (2007) Subadditive pressure for triangular maps. Nonlinearity, Vol.20 (No.1). pp. 133-149. doi:10.1088/0951-7715/20/1/009 ISSN 0951-7715.
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Official URL: http://dx.doi.org/10.1088/0951-7715/20/1/009
Abstract
We investigate properties of the zero of the subadditive pressure used by Falconer, Barreira and Zhang to estimate the box and Hausdorff dimension of a non-conformal repeller. In the conformal case, and in Falconer's 1-bunched non-conformal case, the contraction rates satisfy bounded distortion and so this zero is insensitive to where on each cylinder the contraction is evaluated. We study some nonlinear two-dimensional examples which do not satisfy bounded distortion but do exhibit the same insensitivity. Here the contraction rate fails to specify ellipses that can be used to cover cylinders.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Nonlinearity | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 0951-7715 | ||||
Official Date: | January 2007 | ||||
Dates: |
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Volume: | Vol.20 | ||||
Number: | No.1 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 133-149 | ||||
DOI: | 10.1088/0951-7715/20/1/009 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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