The Hausdorff dimension of self-affine Sierpinski sponges

Details The Hausdorff dimension of self-affine Sierpinski sponges The Hausdorff dimension of self-affine Sierpinski sponges

2008-04-11

arxiv.org/abs/0804.1956v1

Mathematics

Dynamical Systems

18 pages, 1 figure

Scientific paper

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 0the variational principle for the dimension holds for this class.

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