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Long-range fractal correlations in literary corpora [article]

Marcelo A. Montemurro, Pedro A. Pury
2002 arXiv   pre-print
The results confirm that beyond the short-range correlations resulting from syntactic rules acting at sentence level, long-range structures emerge in large written language samples that give rise to long-range  ...  In this paper we analyse the fractal structure of long human-language records by mapping large samples of texts onto time series.  ...  of long-range correlations in biosequences [6, 7] .  ... 
arXiv:cond-mat/0201139v1 fatcat:hrvdbgxcaveuxirtrls2vmwvga

Comparative Computational Analysis of Global Structure in Canonical, Non-Canonical and Non-Literary Texts [article]

Mahdi Mohseni, Volker Gast, Christoph Redies
2020 arXiv   pre-print
Two aspects of global structure are investigated, variability and self-similar (fractal) patterns, which reflect long-range correlations along texts.  ...  Canonical literary texts differ from non-canonical ones primarily in terms of variability. Fractality seems to be a universal feature of text, more pronounced in non-literary than in literary texts.  ...  An analysis of the fractal dimension of sentence-length time series in several Western literary texts revealed that, although most literary texts show a long-range correlation, the dimension of fractality  ... 
arXiv:2008.10906v1 fatcat:is3orr7525czhlem6dc7k5prj4

Multifractal analysis of sentence lengths in English literary texts [article]

Iwona Grabska-Gradzińska, Andrzej Kulig, Jarosław Kwapień, Paweł Oświęcimka, Stanisław Drożdż
2012 arXiv   pre-print
This paper presents analysis of 30 literary texts written in English by different authors.  ...  Both methods showed that there are texts which can be considered multifractal in this representation but a majority of texts are not multifractal or even not fractal at all.  ...  As a result, a convincing evidence was given that word usage by the authors of literary works is long-range correlated even over the corpora consisting of many texts of the same author joined together.  ... 
arXiv:1212.3171v1 fatcat:y3lfufizhzhcrk7pdwygreupce

Approaching the Linguistic Complexity [chapter]

Stanisław Drożdż, Jarosław Kwapień, Adam Orczyk
2009 Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering  
We also study a few small corpora of Polish literary texts and find that for a corpus consisting of texts written by different authors the basic scaling regime is broken more strongly than in the case  ...  We analyze the rank-frequency distributions of words in selected English and Polish texts. We compare scaling properties of these distributions in both languages.  ...  The above evidence suggests that the long-range correlations originating from a given book's continuous narration can be a strong source of scaling behaviour.  ... 
doi:10.1007/978-3-642-02466-5_104 fatcat:zyk2wrdiyjcirc6cs5x65kv75y

Word-length entropies and correlations of natural language written texts [article]

Maria Kalimeri, Vassilios Constantoudis, Constantinos Papadimitriou, Konstantinos Karamanos, Fotis K. Diakonos, Harris Papageorgiou
2014 arXiv   pre-print
, manifested in the high-order moments of the distributions, differentiate the Germanic languages (except for English) from the Romanic languages and Greek and c) the correlations between nearby word lengths  ...  We study the frequency distributions and correlations of the word lengths of ten European languages.  ...  Pury, “Long-range fractal correlations in literary corpora,” Fractals, vol. 10, pp. 451–461, 2002. [11] D. Zanette and M.  ... 
arXiv:1401.6224v1 fatcat:iuyzae36xzafhjaroialfsya5y

Fractality and Variability in Canonical and Non-Canonical English Fiction and in Non-Fictional Texts

Mahdi Mohseni, Volker Gast, Christoph Redies
2021 Frontiers in Psychology  
Two aspects of global structure are investigated, variability and self-similar (fractal) patterns, which reflect long-range correlations along texts.  ...  Fractality seems to be a universal feature of text, slightly more pronounced in non-fictional than in fictional texts.  ...  and similar patterns of long-range correlations (Vieira et al., 2018) .  ... 
doi:10.3389/fpsyg.2021.599063 pmid:33868078 pmcid:PMC8044424 fatcat:gzyhl4ufwfhyranlnyyoxhjxdm

Beyond the Zipf–Mandelbrot law in quantitative linguistics

Marcelo A. Montemurro
2001 Physica A: Statistical Mechanics and its Applications  
In particular, we focus our attention on the important deviations that become statistically relevant as larger corpora are considered and that ultimately could be understood as salient features of the  ...  In this paper the Zipf-Mandelbrot law is revisited in the context of linguistics.  ...  The text ÿles analysed in this paper were supplied by Project Gutenberg Etext [15] .  ... 
doi:10.1016/s0378-4371(01)00355-7 fatcat:awexqrbisjcu7mck43pn6r67i4

Linguistic Complexity: English vs. Polish, Text vs. Corpus

J. Kwapień, S. Drożdż, A. Orczyk
2010 Acta Physica Polonica. A  
We analyze the rank-frequency distributions of words in selected English and Polish texts.  ...  We show that for the lemmatized (basic) word forms the scale-invariant regime breaks after about two decades, while it might be consistent for the whole range of ranks for the inflected word forms.  ...  fractals in Nature.  ... 
doi:10.12693/aphyspola.117.716 fatcat:yxmtikcntjg7xob5sqtfhz7xxi

Linguistic complexity: English vs. Polish, text vs. corpus [article]

Jaroslaw Kwapien, Stanislaw Drozdz, Adam Orczyk
2010 arXiv   pre-print
We analyze the rank-frequency distributions of words in selected English and Polish texts.  ...  We show that for the lemmatized (basic) word forms the scale-invariant regime breaks after about two decades, while it might be consistent for the whole range of ranks for the inflected word forms.  ...  fractals in Nature.  ... 
arXiv:1007.0936v1 fatcat:5bukfjjzs5eshpxrk3xmwygg5i

Written Documents Analyzed as Nature-Inspired Processes: Persistence, Anti-Persistence, and Random Walks—We Remember, as Along Came Writing—T. Holopainen

Omar López-Ortega, Obed Pérez-Cortés, Heydy Castillejos-Fernández, Félix-Agustín Castro-Espinoza, Miguel González-Mendoza
2020 Applied Sciences  
Application of our finding in the field of e-research is discussed.  ...  We conclude that the Hurst parameter is a measure that quantifies the structure of communication in the selected categories of texts.  ...  H is related to the fractal dimension of the original time series x(t) by D = 2 − H. The Hurst exponent H ∈ (0, 1), and measures the correlation of neighbour subseries in time series x(t).  ... 
doi:10.3390/app10186354 fatcat:45a2qohl7rejflory4d2rg3bpq

A Comparison of Two Fluctuation Analyses for Natural Language Clustering Phenomena: Taylor and Ebeling Neiman Methods [article]

Kumiko Tanaka-Ishii, Shuntaro Takahashi
2020 arXiv   pre-print
While both have been applied to various phenomena in the statistical mechanics domain, their similarities and differences have not been clarified.  ...  Figure 2 : 2 Distribution of the fitting error for words in long literary texts collected from Project Gutenberg.  ...  The data consist of literary texts, newspaper corpora, and language-related data from sources such as music and programming languages.  ... 
arXiv:2009.06257v1 fatcat:t2yhmw34qjar7nztmgp6kto3ve

Echoes of Creation

Frog
2022 Religionsvidenskapeligt Tidsskrift  
Fractal recursivity's transpositions can interfere with the chronotope in which they occur.  ...  The study reveals that fractal recursivity operates in relation to conceptions of time as organized into periods or temporalities.  ...  Examining cases of fractal recursivity in Old Norse literature easily leads to viewing it in terms of literary references.  ... 
doi:10.7146/rt.v74i.132124 fatcat:xi65rdviizbxjccctl3sdfnowi

Approximate Entropy in Canonical and Non-Canonical Fiction

Mahdi Mohseni, Christoph Redies, Volker Gast
2022 Entropy  
In using Approximate Entropy, we propose a new method for text classification in the context of computational textual aesthetics.  ...  Moreover, we use Shannon Entropy to estimate degrees of (un)predictability due to frequency distributions in the entire text.  ...  for fractality and long-range correlations [9] .  ... 
doi:10.3390/e24020278 pmid:35205572 pmcid:PMC8870941 fatcat:qvkdfj2hazfwtoy3sgu5bgsdju

Long-range sequential dependencies precede complex syntactic production in language acquisition [article]

Tim Sainburg, Anna Mai, Timothy Q Gentner
2020 bioRxiv   pre-print
Moreover, we show that similar long-range relationships occur in diverse non-linguistic behaviors across species.  ...  to model long-range hierarchical relationships preceded language evolution.  ...  Long-range fractal correlations in literary corpora. Fractals, 351 10(04):451–461, 2002. 352 [14] Wentian Li. Mutual information functions versus correlation functions.  ... 
doi:10.1101/2020.08.19.256792 fatcat:3z6hpofsjrcdvkkaylssiz5fhu

Golden Distribution of Probabilities

Kazuya Hayata
2014 Forma  
For the latter, in the limit of n → ∞ (n being a parameter of the present distribution), the value of the power is found to approach the fractal dimension of the golden tree.  ...  In addition to the binomial, Poisson, and geometrical distributions, the Benford-type as well as the inverse power distributions are considered.  ...  the three cases (Schroeder, 1991; Livio, 2002) , namely, 1) the mixture between long range correlated binary symbols (0 versus 1, A versus B, etc.) in strings generated by applying a prescribed procedure  ... 
doi:10.5047/forma.2014.006 fatcat:aqewe5n3crduremzvgvwh6ozlu
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