关于Bedford-McMullen地毯的Lipschitz分类的注记
note on the Lipschitz classification of Bedford-McMullen carpets
分形集的拓扑结构是分形几何领域的一个研究热点, 目前对于分形方块的Lipschitz分类已经有了很多的研究. 本文主要考虑一类Bedford-McMullen地毯的Lipschitz 分类问题. 通过研究其连通性, 割点结构等方面, 本文对20个不同的Bedford-McMullen地毯进行了Lipschitz分类.
he topological structure of fractal sets is a hot topic in the study of fractal geometry and recently there have been a lot of results on the Lipschitz classification of fractal squares. This note mainly considers a class of Bedford-McMullen carpets. By studying the connectedness, the structure of cut-points and so on, this note provides a Lipschitz classification of $20$ different kinds of Bedford-McMullen carpets.
张露、罗军
数学
Bedford-McMullen地毯Lipschitz等价拓扑结构
Bedford-McMullen carpetsLipschitz equivalenceTopological structure
张露,罗军.关于Bedford-McMullen地毯的Lipschitz分类的注记[EB/OL].(2022-03-03)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/202203-31.点此复制
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