On the Universal Quantitative Pattern of the Distribution of Initial Characters in General Dictionaries: The Exponential Distribution is Valid for Various Languages

References

• Altamirano, C., & Robledo, A. (2011). Possible thermodynamic structure underlying the laws of Zipf and Benford. The European Physical Journal B, 81, 345–351.
   Web of Science ®Google Scholar
• Barber, Ch, Beal, J. C., & Shaw, P. H. A (2015). English Language. A Historical Introduction (2nd ed.). UK: Cambridge University Press.
   Google Scholar
• Benford, F. (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, 78, 551–572.
   Google Scholar
• Berger, A., & Hill, T. P. (2011). Benford’s law strikes back: No simple explanation in sight for mathematical gem. The Mathematical Intelligencer, 33, 85–91.
   Web of Science ®Google Scholar
• Bormashenko, E., Shulzinger, E., Whyman, G., & Bormashenko, Y. (2016). Benford’s law, its applicability and breakdown in the IR spectra of polymers. Physica A, 444, 524–529.
   Web of Science ®Google Scholar
• Buck, B., Merchant, A. C., & Perez, S. M. (1993). An illustration of Benford’s first digit law using alpha decay half-lives. European Journal of Physics, 14, 59–63.
   Google Scholar
• Egghe, L., & Guns, R. (2012). Applications of the generalized law of Benford to informetric data. Journal of the American Society for Information Science and Technology, 63, 1662–1665.
   Web of Science ®Google Scholar
• Ferrer i Cancho, R., & Solé, R. V. (2001). Two regimes in the frequency of words and the origins of complex Lexicons: Zipf’s law revisited. Journal of Quantitative Linguistics, 8, 165–173.
   Google Scholar
• Friar, J. L., Goldman, T., & Pérez-Mercader, J. (2016). Ubiquity of Benford’s law and emergence of the reciprocal distribution. Physics Letters, 380, 1895–1899. doi:10.1016/j.physleta.2016.03.045.
   Google Scholar
• Ganchina, K. (1977). French-Russian dictionary. Moscow: USSR. “Russian Language”.
   Google Scholar
• Gerlach, M., & Altmann, E. G. (2013). Stochastic model for the vocabulary growth in natural languages. Physical Review X, 3, 021006.
   Web of Science ®Google Scholar
• Gessen, D., & Stypula, R. (1980). Big Polish-Russian dictionary. Moscow: USSR. “Russian Language” & Warsaw, Poland, “Common Knowledge”.
   Google Scholar
• Giles, D. E. (2007). Benford’s law and naturally occurring prices in certain Ebay auctions. Applied Economics Letters, 14, 157–161.
   Web of Science ®Google Scholar
• Ki Baek, S., Bernhardsson, S., & Minnhagen, P. (2011). Zipf’s law unzipped. New Journal of Physics, 13, 043004.
   Web of Science ®Google Scholar
• Kopeckiy, L. V., Filipce, J., & Leshky, O. (1976). Czech-Russian dictionary. Moscow: USSR. “Russian Language” & Prague, Czechoslovakia, “SPN”.
   Google Scholar
• Leping, A. A., & Strakhova, N. P. (1976). German-Russian dictionary. Moscow: USSR. “Russian Language”.
   Google Scholar
• Levenston, E. A., & Sivan, R. (2003). The Galil modern dictionary: Hebrew-English. Israel: B.D.A. Galil Publishing House.
   Google Scholar
• Li, Q., & Fu, Z. (2016). Quantifying non-stationarity effects on organization of atmospheric turbulent eddy motion by Benford’s law. Communications in Nonlinear Science and Numerical Simulation, 33, 91–98.
   Web of Science ®Google Scholar
• Latvian-Russian Dictionary. (1979). Vol. 1. Riga: USSR. “Liesma”.
   Google Scholar
• Latvian-Russian Dictionary. (1981). Vol. 2. Riga: USSR. “Avots”.
   Google Scholar
• Li, Q., Fu, Z., & Yuan, N. (2015). Beyond Benford’s law: Distinguishing noise from chaos. PLoS ONE, 10, e0129161.
   PubMed Web of Science ®Google Scholar
• Manin, D Y. (2009). Mandelbrot’s model for Zipf’s law: Can mandelbrot’s model explain Zipf’s law for language? Journal of Quantitative Linguistics, 16, 274–285.
   Web of Science ®Google Scholar
• Mayzner, M. S., & Tresselt, M. E. (1965). Tables of single-letter and digram frequency counts for various word-length and letter-position combinations., 1, 13–32.
   Google Scholar
• Mir, T. A. (2012). The law of the leading digits and the world religions. Physica A, 391, 792–798.
   Web of Science ®Google Scholar
• Mir, T. A., Ausloos, M., & Cerqueti, R. (2014). Benfords law predicted digit distribution of aggregated income taxes: The surprising conformity of Italian cities and regions. The European Physical Journal B, 87, 261.
   Web of Science ®Google Scholar
• Montemurro, M. A. (2001). Beyond the Zipf-Mandelbrot law in quantitative linguistics. Physica A, 300, 567–578.
   Web of Science ®Google Scholar
• Muller, V. K. (1985). English-Russian dictionary. Moscow: USSR. “Russian Language”.
   Google Scholar
• Narumova, B. P. (1999). Big Spanish-Russian dictionary. Moscow, Russia. “Russian Language”.
   Google Scholar
• Newcomb, S. (1881). Note on the frequency of use of different digits in natural numbers. American Journal of Mathematics, 4, 39–40.
   Google Scholar
• Pietronero, L., Tosatti, E., Tosatti, V., & Vespignani, A. (2001). Explaining the uneven distribution of numbers in nature: The laws of Benford and Zipf. Physica A, 29, 297–304.
   Web of Science ®Google Scholar
• Raczaszek-Leonardi, J., & Scott Kelso, J. A. (2008). Reconciling symbolic and dynamic aspects of language: Toward a dynamic psycholinguistics. New Ideas in Psychology, 26, 193–207.
   PubMed Web of Science ®Google Scholar
• Sambridge, M. (2010). Benford’s law in the natural sciences. Geophysical Research Letters, 37, L22301.
   Web of Science ®Google Scholar
• Smirnitsky, A. I. (1989). Russian-English dictionary. Moscow: USSR. “Russian Language”.
   Google Scholar
• Squires, G. L. (2001). Practical physics (4th ed.). Cambridge, UK: Cambridge University Press.
   Google Scholar
• Whyman, G., Shulzinger, E., & Bormashenko, E. (2016). Intuitive considerations clarifying the origin and applicability of the Benford law. Results in Physics, 6, 3–6.
   Web of Science ®Google Scholar
• Zipf, G. K. (1965). The psycho-biology of language, An Introduction to Dynamic Philology. Cambridge, MA: MIT Press.
   Google Scholar
• Zorko, G. F., Maizel, B. N., & Skvorcova, N. A. (2002). Big Italian-Russian dictionary. Moscow, Russia. “Russian Language”.
   Google Scholar