书面语中概念和语义结构的定量分析：语篇动态的长程相关
A quantitative analysis of concepts and semantic structure in written language: Long range correlations in dynamics of texts
摘要：
理解文本需要记忆：读者必须记住足够的单词来创造意义。这就要求读者的记忆和文本的结构之间建立联系。为了研究这种相互作用，我们首先确定一个连接矩阵定义的词在文本中的共现。表征文本的词的向量空间由该矩阵的主方向所跨越。把这些词的加权组合看作代表"概念“是有用的。当读者跟随文本时，她注意力窗口中的一组词语在这些概念之间动态运动。我们观察到该轨迹中的长程幂律相关性。通过显式构建替代层次文本，我们证明了幂律起源于文本的结构组织成子单元，如章节和段落。
英文摘要：
Understanding texts requires memory: the reader has to keep in mind enough words to create meaning. This calls for a relation between the memory of the reader and the structure of the text. To investigate this interaction, we first identify a connectivity matrix defined by co-occurrence of words in the text. A vector space of words characterizing the text is spanned by the principal directions of this matrix. It is useful to think of these weighted combinations of words as representing ``concepts''. As the reader follows the text, the set of words in her window of attention follows a dynamical motion among these concepts. We observe long range power law correlations in this trajectory. By explicitly constructing surrogate hierarchical texts, we demonstrate that the power law originates from structural organization of texts into subunits such as chapters and paragraphs.
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