学术报告报告题目：Multiscale self-affine Sierpinski carpets
报 告 人：李文侠 教授(华东师范大学)
报告时间：2019年11月21日(星期四) 下午15:30-16:30
报告地点：4号楼318室
邀 请 人：李兵 教授
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数学学院
2019年 11月 19 日
报告摘要：
The well-known self-affine Sierpinski carpets, first studied by McMullen and Bedford independently, are constructed geometrically by repeating a single action according to a given pattern. In this talk, we present a way to extend them by randomly choosing a pattern from a set of patterns with different scales in each step of their construction process. Under certain conditions, the Hausdorff and box dimensions of the resulting limit sets are determined explicitly and the sufficient conditions for the corresponding Hausdorff measures to be positive finite are also obtained.