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The Hausdorff dimension of self-affine S...

Luzia, Nuno...

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The Hausdorff dimension of self-affine Sierpinski sponges by Luzia, Nuno ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-08-2023
Summary	We compute the Hausdorff dimension of limit sets generated by 3-dimensional self-affine mappings with diagonal matrices of the form A_{ijk}=Diag(a_{ijk}, b_{ij}, c_{i}), where 0<a_{ijk}\le b_{ij}\le c_i<1. By doing so we show that the variational principle for the dimension holds for this class.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0804.1956

Citation

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AMA 11th EditionReferences

Luzia, Nuno. The Hausdorff dimension of self-affine Sierpinski sponges. Australian National University. August 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/2024

APA 7th EditionReferences

Luzia, Nuno. (2023). The Hausdorff dimension of self-affine Sierpinski sponges. Australian National University. https://online.provdatabase.com/cite/2024

Chicago 17th EditionReferences

Luzia, Nuno. The Hausdorff dimension of self-affine Sierpinski sponges. Australian National University. 2023. https://online.provdatabase.com/cite/2024

HarvardReferences

Luzia, Nuno. (2023). The Hausdorff dimension of self-affine Sierpinski sponges. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/2024. (Accessed 20 September 2024).

Harvard AustraliaReferences

Luzia, Nuno, 2023, The Hausdorff dimension of self-affine Sierpinski sponges, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/2024>

MLA 9th EditionWorks Cited

Luzia, Nuno. The Hausdorff dimension of self-affine Sierpinski sponges. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/2024.

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