论文标题
自相似集的熵和Hausdorff尺寸
The Entropy and Hausdorff Dimension of self-similar sets
论文作者
论文摘要
给定一个$ k $ - sell类似集$ x \ subset [0,1]^{d} $，我们同时计算其Hausdorff尺寸及其熵，并表明这两个数量实际上是相等的。这肯定是解决了Adamczewski和Bell的猜想。
Given a $k$-self similar set $X\subset [0,1]^{d}$ we calculate both its Hausdorff dimension and its entropy, and show that these two quantities are in fact equal. This affirmatively resolves a conjecture of Adamczewski and Bell.
