A class of Sierpinski carpets with overlaps

作者：Zou Yuru; Yao Yuanyuan; Li Wenxia^*

来源：Journal of Mathematical Analysis and Applications, 2008, 340(2): 1422-1432.

DOI：10.1016/j.jmaa.2007.09.057

• Hausdorff dimension
• generalized finite type
• (No) complete overlap

Based on a scheme by Lau and Ngai, a sufficient and necessary condition for an IFS, of contractive similitudes to satisfy the open set condition is given. A class of Sierpinski carpets with parameters (lambda(1), lambda(2)) is then investigated.

• 出版日期2008-4-15
• 单位华东师范大学