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Measuring complexity with multifractals in texts. Translation effects

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  • Ausloos, M.

Abstract

Should quality be almost a synonymous of complexity? To measure quality appears to be audacious, even very subjective. It is hereby proposed to use a multifractal approach in order to quantify quality, thus through complexity measures. A one-dimensional system is examined. It is known that (all) written texts can be one-dimensional nonlinear maps. Thus, several written texts by the same author are considered, together with their translation, into an unusual language, Esperanto, and asa baseline their corresponding shuffled versions.

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  • Ausloos, M., 2012. "Measuring complexity with multifractals in texts. Translation effects," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1349-1357.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:11:p:1349-1357
    DOI: 10.1016/j.chaos.2012.06.016
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    Cited by:

    1. Edoardo Magnone, 2014. "A novel graphical representation of sentence complexity: the description and its application," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(2), pages 1301-1329, February.
    2. Stanisz, Tomasz & Drożdż, Stanisław & Kwapień, Jarosław, 2023. "Universal versus system-specific features of punctuation usage patterns in major Western languages," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Tianguang Yang & Changgui Gu & Huijie Yang, 2016. "Long-Range Correlations in Sentence Series from A Story of the Stone," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-11, September.
    4. Stan, Cristina & Cristescu, Cristina Maria & Alexandroaei, D. & Cristescu, C.P., 2014. "The effect of Gaussian white noise on the fractality of fluctuations in the plasma of a symmetrical discharge," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 46-55.
    5. Yue Yang & Changgui Gu & Qin Xiao & Huijie Yang, 2017. "Evolution of scaling behaviors embedded in sentence series from A Story of the Stone," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-14, February.
    6. Dariusz Grech & Grzegorz Pamu{l}a, 2013. "On the multifractal effects generated by monofractal signals," Papers 1307.2014, arXiv.org, revised Aug 2013.
    7. Pablo Su'arez-Garc'ia & David G'omez-Ullate, 2013. "Multifractality and long memory of a financial index," Papers 1306.0490, arXiv.org.
    8. Vieira, Denner S. & Picoli, Sergio & Mendes, Renio S., 2018. "Robustness of sentence length measures in written texts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 749-754.
    9. Suárez-García, Pablo & Gómez-Ullate, David, 2014. "Multifractality and long memory of a financial index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 226-234.
    10. Ficcadenti, Valerio & Cerqueti, Roy & Ausloos, Marcel & Dhesi, Gurjeet, 2020. "Words ranking and Hirsch index for identifying the core of the hapaxes in political texts," Journal of Informetrics, Elsevier, vol. 14(3).
    11. Ghosh, Dipak & Chakraborty, Sayantan & Samanta, Shukla, 2019. "Study of translational effect in Tagore’s Gitanjali using Chaos based Multifractal analysis technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1343-1354.
    12. Rodriguez, E. & Aguilar-Cornejo, M. & Femat, R. & Alvarez-Ramirez, J., 2014. "Scale and time dependence of serial correlations in word-length time series of written texts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 378-386.

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