最大多样性和齐普夫定律
Maximal Diversity and Zipf's Law
摘要：
齐普夫定律描述了自然科学、社会科学和人文科学中许多系统组成部分的经验规模分布。我们表明，通过解决一个统计模型，齐普夫定律共同发生的组件大小的多样性的最大化。导出了这种多样性随系统总维数增加的规律，并讨论了它与Heaps定律的关系。作为一个例子，我们表明我们的分析结果与语言学数据集非常相似。
英文摘要：
Zipf's law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf's law co-occurs with the maximization of the diversity of the component sizes. The law ruling the increase of such diversity with the total dimension of the system is derived and its relation with Heaps' law is discussed. As an example, we show that our analytical results compare very well with linguistics datasets.
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。
