Stanisz Tomasz, Drożdż Stanisław, Kwapień Jarosław
Complex Systems Theory Department, Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, 31-342 Kraków, Poland.
Faculty of Computer Science and Telecommunications, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland.
Chaos. 2024 Aug 1;34(8). doi: 10.1063/5.0203530.
As the recent studies indicate, the structure imposed onto written texts by the presence of punctuation develops patterns which reveal certain characteristics of universality. In particular, based on a large collection of classic literary works, it has been evidenced that the distances between consecutive punctuation marks, measured in terms of the number of words, obey the discrete Weibull distribution-a discrete variant of a distribution often used in survival analysis. The present work extends the analysis of punctuation usage patterns to more experimental pieces of world literature. It turns out that the compliance of the the distances between punctuation marks with the discrete Weibull distribution typically applies here as well. However, some of the works by James Joyce are distinct in this regard-in the sense that the tails of the relevant distributions are significantly thicker and, consequently, the corresponding hazard functions are decreasing functions not observed in typical literary texts in prose. Finnegans Wake-the same one to which science owes the word quarks for the most fundamental constituents of matter-is particularly striking in this context. At the same time, in all the studied texts, the sentence lengths-representing the distances between sentence-ending punctuation marks-reveal more freedom and are not constrained by the discrete Weibull distribution. This freedom in some cases translates into long-range nonlinear correlations, which manifest themselves in multifractality. Again, a text particularly spectacular in terms of multifractality is Finnegans Wake.
正如最近的研究所表明的那样,标点符号的存在给书面文本强加的结构形成了揭示某些普遍性特征的模式。具体而言,基于大量经典文学作品,已证明以单词数量衡量的连续标点符号之间的距离服从离散威布尔分布——一种常用于生存分析的分布的离散变体。本研究将对标点符号使用模式的分析扩展到世界文学中更多的实验性作品。结果发现,标点符号之间的距离对标点符号使用模式的分析扩展到世界文学中更多的实验性作品。结果发现,标点符号之间的距离与离散威布尔分布的一致性在此通常也适用。然而,詹姆斯·乔伊斯的一些作品在这方面有所不同——从相关分布的尾部明显更厚这一意义上来说,因此,相应的风险函数是典型散文文学文本中未观察到的递减函数。在这种情况下,《芬尼根的守灵夜》——科学因物质的最基本成分“夸克”一词而对其有所亏欠的同一部作品——尤为引人注目。同时,在所有研究的文本中,句子长度——表示句末标点符号之间的距离——显示出更多的自由度,并且不受离散威布尔分布的约束。这种自由度在某些情况下转化为长程非线性相关性,这在多重分形中表现出来。同样,就多重分形而言特别引人注目的一篇文本是《芬尼根的守灵夜》。