Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results*
Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results*
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DOI：
10.1088/0951-7715/17/2/007
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发表时间：
2004-03
期刊：
影响因子：
1.7
通讯作者：
Zuoling Zhou;Li Feng
中科院分区：
文献类型：
--
作者：
Zuoling Zhou;Li Feng
本文提出了12个公开问题和1个猜想。其中，八个公开问题和猜想是关于自相似集的Hausdorff测度的精确值的计算，四个公开问题是关于拓扑熵的。本文对这些问题和猜想的最新研究成果作了简要的综述。
Twelve open problems and one conjecture are posed in this exposition. Among them, eight open problems and the conjecture are on calculation of the exact value of the Hausdorff measure of self-similar sets, and four open problems are on topological entropy. We give a brief survey of the recent research results related to these open problems and conjecture.