论文标题
贝德福德 - 麦克木地毯的分形几何形状
Fractal geometry of Bedford-McMullen carpets
论文作者
论文摘要
1984年,贝德福德(Bedford)和麦克穆伦(McMullen)独立引入了一个自我恋式套装,现在被称为\ emph {bedford-mcmullen carpets}。他们的工作刺激了分形几何学和非符号动力学领域的大量研究。在这篇调查文章中,我们讨论了Bedford-Mcmullen地毯的某些方面,主要关注维度理论。
In 1984 Bedford and McMullen independently introduced a family of self-affine sets now known as \emph{Bedford-McMullen carpets}. Their work stimulated a lot of research in the areas of fractal geometry and non-conformal dynamics. In this survey article we discuss some aspects of Bedford-McMullen carpets, focusing mostly on dimension theory.