On single-matrix graph-directed iterated function systems
On single-matrix graph-directed iterated function systems
复制标题
单矩阵图导向迭代函数系统
DOI:
10.1016/j.jmaa.2010.07.001
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发表时间:
2010-12
影响因子:
1.3
通讯作者:
Yang, Ya-Min
中科院分区:
文献类型:
--
作者:
Jun, Luo;Yang, Ya-Min
We study graph-directed function systems where each contraction in the system has the form fe(x)=A−1(x+de), where A is an expanding matrix. We show that a certain discreteness implies the open set condition, and the latter implies the strong open set condition. Hausdorff measures and dimensions (w.r.t. a weak norm) of the invariant sets are investigated. The stationary Markov measures of the system are proved to be translation invariant.
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