弱分离条件下自相似测度的景流
The scenery flow of self-similar measures with weak separation condition
摘要:
证明了满足弱分离条件的$\mathbb{R}^d$上的自相似测度是一致标度的.我们的方法结合了初等的遍历论与几何分析的结构给出的弱分离条件。
英文摘要:
We show that self-similar measures on $\mathbb{R}^d$ satisfying the weak separation condition are uniformly scaling. Our approach combines elementary ergodic theory with geometric analysis of the structure given by the weak separation condition.
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