基于状态转移网络的《红楼梦》文本分析

A Textual Analysis of A Dream of Red Mansions by the State Transfer Network

摘要: 当前多数文本分析是基于非中文语言，中文文本的研究较少。本文对《红楼梦》前80回和后40回分别提取字频时间序列。进一步，通过滑动窗口将每段时间序列划分成时序片段，并映射为状态转移网络来探究文本语言的写作风格及特征，发现《红楼梦》的前80回与后40回在节点度分布、重要循环的连边强度存在显著差异，使用去趋势波动分析发现《红楼梦》前后部分模体位置序列的标度指数也存在明显区别。《红楼梦》前后部分之间的网络特性差异，支持了《红楼梦》为曹雪芹和高鹗合作的普遍观点。

Abstract: At present, most textual analysis is based on non-Chinese languages while Chinese texts are rarely studied. In this paper, character frequency time series of the first 80 and last 40 episodes of A Dream of Red Mansions are extracted respectively. Furthermore, the writing style and characteristics of the text language are explored by dividing each series into time series segments through sliding windows and mapping them into state transition networks. It is found that there are significant differences in degree distribution and edge weight of important cycles between the first part and the second part of A Dream of Red Mansions. Using the method of detrended fluctuation analysis (DFA), it is found that there are obvious differences in the scaling exponents of the first part and the second part. The difference of network characteristics confirms the general viewpoint that A Dream of Red Mansions is a collaboration between Cao Xueqin and Gao E.