Boundary parametrization of planar self-affine tiles with collinear digit set

• 作 者: AKIYAMA Shigeki LORIDANT Benoi
• 机 构: DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2010年9期
• 关键词: SELF-SIMILAR tile BOUNDARY disk-likeness fractal PARAMETRIZATION self-similar ti
• 基金项目: supported by Japanese Ministry of Education,Culture,Sports,Science and Technology,Grantin Aid for Fundamental Research (Grant No.21540010),the Japanese Society for the Promotion of Science (Grant No.0

We consider a class of planar self-affine tiles T = M-1 a∈D(T + a) generated by an expanding integral matrix M and a collinear digit set D as follows:M =(0-B 1-A),D = {(00),...,(|B|0-1)}.We give a parametrization S1 →T of the boundary of T with the follo