摘要
本文阐述了RIFS和IFS之间的关系,并对定义在一组紧空间上的向量递归迭代 函数系统(VRIFS),定义了Markov算子,给出Markov算子是压缩算子的条件,描述了 其不动点即广义递归迭代函数系统的不变测度.文中还给出了相应的拼贴定理.
The paper gives some samples and illustrates the relation between IFS and RIFS. Analogously with RIFS, a Markov operator for the vector recurrent iterated function system has been constructed, and it is contractive and possesses a unique unvariant measure with the support set that is the attractor of the VRIFS. Finally, the collage theorem for the VRIFS has been provided.
出处
《系统科学与数学》
CSCD
北大核心
2003年第2期279-288,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(No.10071060)资助课题.
