当$K=[0,1]$弱分离条件与有限型条件重合时
When $K=[0,1]$ Weak Separation Condition coincides Finite type Condition
摘要:
研究了$\mathbb R$上满足弱分离性的相似迭代函数系统。我们探讨,如果这意味着有限型属性。我们研究了最简单的情况,条件是闭区间[0,1]是IFS的吸引子。这个条件的必要性并不严格,但仍然未知。
英文摘要:
This study is about the Iterated Function System (IFS) of similarities on $\mathbb R$ that satisfies Weak Separation property (WSP). We explore if this implies Finite type property. We look into the most simple case with condition that closed interval [0,1] is an attractor of the IFS. The necessity of this condition is not strict but still unknown.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。