Assouad dimension of self-affine carpets

Assouad dimension of self-affine carpets
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DOI:
10.1090/s1088-4173-2011-00232-3
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发表时间:
2010-03
期刊:
Conformal Geometry and Dynamics of The American Mathematical Society
影响因子:
--
通讯作者:
J. M. Mackay
J. M. Mackay
中科院分区:
其他
文献类型:
--
作者:
J. M. Mackay

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计算了Bedford和McMullen的自仿射地毯以及Lley和Gatzouras的自仿射地毯的AsSouad维数。我们还计算了非自相似地毯的共形阿苏阿德维度。
We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.