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Long-range fractal correlations in literary corpora
[article]
2002
arXiv
pre-print
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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]
2020
arXiv
pre-print
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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]
2012
arXiv
pre-print
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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]
2009
Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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2009 pre-print arXiv:0901.3291v1 fatcat:z3vus3tldrdebnsymxe52gkcwa
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]
2014
arXiv
pre-print
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, 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
2021
Frontiers in Psychology
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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
2001
Physica A: Statistical Mechanics and its Applications
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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
2010
Acta Physica Polonica. A
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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]
2010
arXiv
pre-print
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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
2020
Applied Sciences
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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]
2020
arXiv
pre-print
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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
2022
Religionsvidenskapeligt Tidsskrift
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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
2022
Entropy
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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]
2020
bioRxiv
pre-print
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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
2014
Forma
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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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