Integral Self-affine Tiles of Bandt's Model  

作　　者：Hui Rao Li-jun Zhang 

机构地区：[1]Department of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China [2]Department of Mathematics, Tsinghua University, Beijing 100084, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第1期169-176,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10631040)

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.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.

关 键 词：IFS self-affine tiling invariant measure _ 

分 类 号：O172.2[理学—数学] TQ174.765[理学—基础数学]