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arXiv 2002.04575math.DSmath.MG
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当弱分离条件蕴涵广义有限型条件时

When the Weak Separation Condition implies the Generalized Finite Type Condition

Kathryn E. Hare, Kevin G. Hare, Alex Rutar

摘要:

证明了$\mathbb{R}$上的相似迭代函数系满足弱分离条件,且自相似集为区间,满足较强的广义有限型条件.它是未知的,如果自相似集是一个区间的假设是必要的。

英文摘要:

We prove that an iterated function system of similarities on $\mathbb{R}$ that satisfies the weak separation condition and has an interval as its self-similar set satisfies the stronger generalized finite type condition. It is unknown if the assumption that the self-similar set is an interval is necessary.

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。

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