论文标题
当弱分离条件意味着普遍的有限型条件
When the Weak Separation Condition implies the Generalized Finite Type Condition
论文作者
论文摘要
我们证明，在$ \ mathbb {r} $上具有相似之处的迭代功能系统满足弱的分离条件，并且由于其自相似设置满足更强的广义有限类型条件，因此具有间隔。尚不清楚自我相似集合是必需的假设是否必要。
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.
