Integral self-affine tiles of Bandt’s model

被引：0
|
作者：
Hui Rao
Li-jun Zhang
机构：
[1] Central China Normal University,Department of Mathematics and Statistics
[2] Tsinghua University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2010年 / 26卷
关键词：
IFS; self-affine tiling; invariant measure; 52C20; 52C22; 42B99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Integral self-affine tiling of Bandt’s model is a generalization of the integral self-affine tiling. Using ergodic theory, we show that the Lebesgue measure of the tile is a rational number where the denominator equals to the order of the associate symmetry group. We apply the result to the study of the Levy Dragon.
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页码：169 / 176
页数：7
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