In this study, Nobel Laureate Orhan Pamuk's works are chosen as examples of Turkish literature. By counting the number of letters and words in his texts, we find it possible to study his works statistically. It has been known that there is a geometrical order in text structures. Here the method based on the basic assumption of fractal geometry is introduced for calculating the fractal dimensions of Pamuk's texts. The results are compared with the applications of Zipf's law, which is successfully applied for letters and words, where two concepts, namely Zipf's dimension and Zipf's order, are introduced. The Zipf dimension of the novel My Name is Red is found to be much different than his other novels. However, it is linguistically observed that there is no fundamental difference between his corpora. The results are interpreted in terms of fractal dimensions and the Turkish language.
翻译:本研究选取诺贝尔文学奖得主奥尔罕·帕慕克的作品作为土耳其文学的代表文本。通过统计文本中的字母与单词数量,我们得以对其作品进行统计学研究。已有研究表明,文本结构存在几何秩序。本文引入基于分形几何基本假设的方法,计算帕慕克文本的分形维数,并将结果与齐普夫定律的应用进行对比。该定律成功适用于字母与单词层面,为此我们提出了"齐普夫维数"和"齐普夫阶"两个概念。研究发现,小说《我的名字叫红》的齐普夫维数显著不同于作者其他作品。然而,语言学观察表明帕慕克的语料库之间并无本质差异。本文结合分形维数与土耳其语特征对结果进行了阐释。