Physics Beyond Physics: Application of Physical Approaches in Quantitative Linguistics
DOI:
https://doi.org/10.15407/ujpe65.2.143Keywords:
physical theory, model, econophysics, sociophysics, quantitative linguisticsAbstract
The application of physical methods to solve non-physical problems has been considered. In particular, the prospects of physical approaches in quantitative linguistics are analyzed. The difference between the physical and non-physical methods is illustrated by an example of already existing “classical” models. A few mathematical models which make it possible to determine the rank-frequency dependence for words in a frequency dictionary, as well as the dependence of the dictionary volume on the text length, are proposed. It is shown that the physical approaches and principles that are used in physics can also be successfully applied to create mathematical models in linguistics.
References
D. Walker. Economics and social physics. Econom. J. 101, 615 (1991). https://doi.org/10.2307/2233566
R. Mantegna, H. Stanley. An Introduction to Econophysics (Cambridge Univ. Press, 2000). https://doi.org/10.1017/CBO9780511755767
J. McCauley. Dynamics of Markets: Econophysics and Finance (Cambridge Univ. Press, 2004). https://doi.org/10.1017/CBO9780511606588
F. Jovanovic, C. Schinckus. Econophysics: A new challenge for financial economics. J. Hist. Econ. Thought 35, 319 (2012). https://doi.org/10.1017/S1053837213000205
Y. Gingras, C. Schinckus. The institutionalization of econophysics in the shadow of physics. J. Hist. Econ. Thought 34, 109 (2012). https://doi.org/10.1017/S1053837212000041
C. Schinckus, F. Jovanovic. Towards a transdisciplinary econophysics. J. Econ. Method. 20, 164 (2013). https://doi.org/10.1080/1350178X.2013.801561
D. Sornette. Physics and financial economics (1776-2014): Puzzles, Ising and agent-based models. Rep. Progr. Phys. 77, 1 (2014). https://doi.org/10.2139/ssrn.2421155
B. Chakrabarti, A. Chakraborti, A. Chatterjee. Econophysics and Sociophysics: Trends and Perspectives (Wiley-VCH, 2006). https://doi.org/10.1002/9783527610006
S. Galam, Y. Gefen, Y. Shapir. Sociophysics: A mean behavior model for the process of strike. J. Math. Sociol. 9, 1 (1982). https://doi.org/10.1080/0022250X.1982.9989929
S. Galam. Sociophysics: A Physicist's Modeling of Psycho-Polytical Phenomena (Springer, 2012). https://doi.org/10.1007/978-1-4614-2032-3
D. Stauffer. A biased review of sociophysics arXiv: 1207.6178v1.
C. Castellano, S. Fortunato, V. Loreto. Statistical physics of social dynamics. Rev. Mod. Phys. 81, 591 (2009). https://doi.org/10.1103/RevModPhys.81.591
S. Galam. Sociophysics: A review of Galam models. arXiv: 0803.1800.
B. Berche, C. von Ferber, T. Holovatch, Yu. Holovatch. Transportation network stability: a case study of city transit. Adv. Complex Syst. 15, 1, 1250063 (2012). https://doi.org/10.1142/S0219525912500634
Y. Holovatch, V. Palchykov. Complex networks of words in fables. In: Maths Meets Myths: Complexity-Science Approaches to Folktales, Myths, Sagas, and Histories. Edited by R. Kenna, M. Mac Carron, P. Mac Carron (Springer, 2016). https://doi.org/10.1007/978-3-319-39445-9_9
Yu. Holovatch, R. Kenna, S. Thurner. Complex systems: physics beyond physics. Eur. J. Phys. 38, 023002 (2017). https://doi.org/10.1088/1361-6404/aa5a87
Yu. Golovach, M. Dudka, V. Blavatska, V. Palchykov, M. Krasnytska, O. Mryglod. Statistical Physics of Complex Systems. Preprint ICMP-17-06U (Lviv, 2017) (in Ukrainian).
Yu. Golovach, M. Dudka, V. Blavatska, V. Palchykov, M. Krasnytska, O. Mryglod. Statistical physics of complex systems in the world and Lviv. Zh. Fiz. Dosl. 22, 2801 (2018) (in Ukrainian). https://doi.org/10.30970/jps.22.2801
G. Altmann, R. K¨ohler. "Language Forces" and synergetic modelling of language phenomena. Glottometrika 15, 62 (1996).
R. K¨ohler. Synergetic linguistics. In Quantitative Linguistics. An International Handbook (Walter de Gruyter, 2005), p. 760. https://doi.org/10.1515/9783110155785.11.760
Yu. Tuldava. Problems and Methods of Quantitative-Systemic Research of Lexicon (Valgus, 1987) (in Russian).
R. Piotrovskii, K. Bektaev, A. Piotrovskaya. Mathematical Linguistics (Vysshaya Shkola, 1977) (in Russian).
R. Piotrovskii. Linguistic Synergetics: Basic Assumptions, First Results, Prospects (St. Petersburg State Univ., 2006) (in Russian).
V.V. Levitskii. Quantitative Methods in Linguistics (Ruta, 2005) (in Russian).
Yu. Golovach, V. Palchykov. Mykyta fox and the language network. Zh. Fiz. Dosl. 11, N 1, 22 (2007) (in Ukrainian).
A.A. Rovenchak, S. Buk. Defining thermodynamic parameters for texts from word rank-frequency distributions. J. Phys. Stud. 15, 1005 (2011).
A.A. Rovenchak, S. Buk. Application of a quantum ensemble model to linguistic analysis. Physica A 390, 1326 (2011). https://doi.org/10.1016/j.physa.2010.12.009
A. Rovenchak, S. Buk. Part-of-speech sequences in literary text: Evidence from Ukrainian. J. Quant. Linguist. 25 (1), 1 (2018). https://doi.org/10.1080/09296174.2017.1324601
O.M. Vasilev, O.V. Chalyi, I.V. Vasileva. On "exotic" problems in physics, Winnie the Pooh, and Zipf's law. Zh. Fiz. Dosl. 17, 1001 (2013) (in Ukrainian).
A. Vasilev, I. Vasileva. Text length and vocabulary size: Case of the Ukrainian writer Ivan Franko. Glottometrics 43, 1 (2018).
G. Zipf. Human Behavior and the Principle of Least Effort (Addison-Wesley, 1949).
G. Zipf. The Psycho-Biology of Language (Addison-Wesley, 1935).
W. Li. Zipf's law everywhere. Glottometrics 5, 14 (2002).
I.-I. Popescu, G. Altmann, R. K¨ohler. Zipf's law another view. Qual. Quant. 44, 713 (2010). https://doi.org/10.1007/s11135-009-9234-y
V. Palchykov. Scale-Free and Small-World Effects in Complex Networks. Ph.D. thesis (Lviv, 2010) (in Ukrainian).
L. Kostenko. Notes of Ukrainian Crazy (A-ba-ba-ga-la-maga, Lviv, 2014) (in Ukrainian).
I. Moreno-S'anchez, F. Font-Clos, ' A. Corral. Large-scale analysis of Zipf's law in English texts. PLoS ONE 11, e0147073 (2016). https://doi.org/10.1371/journal.pone.0147073
G. Thomson, J.R. Thompson. Outline of a measure for the quantitative analysis of writing vocabularies. Brit. J. Psychol. 8, 52 (1915). https://doi.org/10.1111/j.2044-8295.1915.tb00128.x
G. Herdan. Type-Token Mathematics: A Textbook of Mathematical Linguistics (Gravenhage, 1960).
J. Tuldava. The statistical structure of a text and its readability. In Quantitative text analysis (Wissenschaftlicher Verlag Trier, 1993).
J. Tuldava. On the relation between text length and vocabulary size. In: Methods in Quantitative Linguistics (Wissenschaftlicher Verlag Trier, 1995), p. 131
E. Panas. The generalized torquist: Specification and estimation of a new vocabulary-text size function. J. Quant. Linguist. 8, 233 (2001). https://doi.org/10.1076/jqul.8.3.233.4097
E. Panas, A.N. Yannacopoulos. Stochastic models for the lexical richness of a text: Qualitative results. J. Quant. Linguist. 11, 251 (2004). https://doi.org/10.1080/0929617042000314985
G. Wimmer. The type-token relation. In Quantitative Linguistics. An International Handbook (Walter de Gruyter, 2005), p. 361.
R. K¨ohler. Synergetic linguistics. In Quantitative Linguistics. An International Handbook (Walter de Gruyter, 2005), p. 760. https://doi.org/10.1515/9783110155785.11.760
F. Fan. Text length, vocabulary size and text coverage constancy. J. Quant. Linguist. 20, 288 (2013). https://doi.org/10.1080/09296174.2013.830550
M. Kub'at, J. Miliˇcka. Vocabulary richness measure in genres. J. Quant. Linguist. 20, 339 (2013). https://doi.org/10.1080/09296174.2013.830552
D. Mitchell. Type-token models: a comparative study. J. Quant. Linguist. 22, 1 (2015). https://doi.org/10.1080/09296174.2014.974456
F. Fan, Y. Yang, W. Yaqin. The probability distribution of textual vocabulary in the English language. J. Quant. Linguist. 23, 49 (2016). https://doi.org/10.1080/09296174.2015.1071149
S. Thurner R. Hanel, B. Liu, B. Corominas-Murtra. Understanding Zipf's law of word frequencies through sample-space collapse in sentence formation. J. R. Soc. Interface 12, 20150330 (2015). https://doi.org/10.1098/rsif.2015.0330
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.