Classification of a quasi-circles by Hausdorff dimension
Classification of a quasi-circles by Hausdorff dimension
复制标题
DOI：
10.1088/0951-7715/2/3/008
复制
发表时间：
1989-08
期刊：
影响因子：
1.7
通讯作者：
K. Falconer;D. T. Marsh
中科院分区：
文献类型：
--
作者：
K. Falconer;D. T. Marsh
拟自相似集是一类重要的分形，包括共形动力系统中的Julia集。证明了与圆同胚的拟自相似集由其Hausdorff维数决定是否在双Lipschitz等价内。
Quasi-self-similar sets form an important class of fractals which includes the Julia sets that occur in conformal dynamical systems. The authors show that quasi-self-similar sets which are homeomorphic to the circle are determined to within bi-Lipschitz equivalence by their Hausdorff dimension.