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The Hausdorff dimension of self-affine Sierpinski sponges

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 نشر من قبل Nuno Luzia
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Nuno Luzia




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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.



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