从Fisher变分原理导出的齐普夫定律
Zipf's law from a Fisher variational-principle
摘要:
齐普夫的法律是出现作为一个问题的Fisher的条款制定的变分解决方案。一个适当的最小化过程,涉及费舍尔信息和标度不变性产生这个普遍的秩分布。作为一个例子,我们表明,在引用最多的物理学期刊中发现的引文数量遵循这一规律。
英文摘要:
Zipf's law is shown to arise as the variational solution of a problem formulated in Fisher's terms. An appropriate minimization process involving Fisher information and scale-invariance yields this universal rank distribution. As an example we show that the number of citations found in the most referenced physics journals follows this law.
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。