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
复制
发表时间:
2010-12
影响因子:
1.3
通讯作者:
Yang, Ya-Min
Yang, Ya-Min
中科院分区:
数学3区
文献类型:
--
作者:
Jun, Luo;Yang, Ya-Min

文献摘要

参考文献

被引文献

相似文献

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.
DOI: 10.2140/pjm.2002.206.465
发表时间: 2002-10
影响因子: 0.6
作者:
V. Sirvent;Yang Wang
通讯作者: V. Sirvent;Yang Wang
DOI: 10.1090/s0002-9939-1994-1191872-1
发表时间: 1994
期刊: --
影响因子: --
作者:
A. Schief
通讯作者: A. Schief
DOI: 10.1007/s00041-001-4007-6
发表时间: 1994-05
影响因子: 1.2
作者:
K. Grōchenig;A. Haas
通讯作者: K. Grōchenig;A. Haas
DOI: 10.1017/s0027763000021085
发表时间: 1984-12
影响因子: 0.8
作者:
C. McMullen
通讯作者: C. McMullen
DOI: 10.1006/aima.1996.0045
发表时间: 1996-07
影响因子: 1.7
作者:
J. Lagarias;Yang Wang
通讯作者: J. Lagarias;Yang Wang