语言族的计算机模拟

Network of families in a contemporary population: regional and cultural assortativity

Using a large dataset with individual-level demographic information of 60,000 families in contemporary Finland, we analyse the variation and cultural assortativity in a network of families. Families are considered as vertices and unions between males and females who have a common child and belong to different families are considered as edges in such a network of families. The sampled network is a collection of many disjoint components with the largest connected component being dominated by families rooted in one specific region. We characterize the network in terms of the basic structural prop…

语言、程序和DNA的N元组Zipf分析与建模

N-tuple Zipf Analysis and Modeling for Language, Computer Program and DNA

n元幂律广泛存在于语言、计算机程序代码、DNA和音乐中。通过对大量经验数据的Zipf分析，我们提出了一个模型来解释这些信息翻译载体中存在的n元幂律特征。我们的模型是一个优先选择的方法启发西蒙的模型，解释了序列Zipf分析中的单个符号的标度律。在我们的模型中，内核机制是整洁和简单的。它可以简单地描述为一个随机复制和粘贴过程，即从当前序列中随机选择一个随机片段并将其重复粘贴到末尾。对模型的模拟表明，模型生成的数据存在n重幂律。此外，还提出了幂律的Zipf指数和最小n元组长度两个估计方程，它们与经验数据吻合较好。我们的模型也可以再现DNA数据中ATGC数差异的对称性破缺过程。