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2004

  1. Hideaki Aoyamaa, Yoshi Fujiwarab, Wataru Souma (2004), "Kinematics and dynamics of Pareto-Zipf's law and Gibrat's law", Physica A, 344:117-121.
    [ abstract]

  2. Chris Anderson (2004), "The long tail", Wired Magazine, 12(1):170-177.
    [text] [related blog: http://www.thelongtail.com/, which also cited my page]

  3. Jesse H Ausubel (2004), "Will the rest of the world live like America?" Technology in Society, 26:343-360.
    [PDF]

  4. AG Bashkirov (2004) "On maximum entropy principle, superstatistics, power-law distribution and Renyi parameter", Physica A, 332:539-547.
    [ abstract]

  5. Valerie Bence, Charles Oppenheim (2004), "Does Bradford-Zipf apply to business and management journals in the 2001 Research Assessment Exercise?", Journal of Information Science, 30:469-474.

  6. R Carvalho, A Penn (2004), "Scaling and universality in the micro-structure of urban space", Physica A, 332:539-547.
    [ abstract]

  7. Arnab Chatterjee, Bikas K Chakrabarti, SS Manna (2004), "Pareto law in a kinetic model of market with random saving propensity", Physica A, 335:155-163.
    [ abstract]
    [Pareto's principle]

  8. Hsin-Ping Chen (2004), "Path-dependent processes and the emergence of the rank size rule", The Annals of Regional Science, 38(3):433-449.
    [ abstract]

  9. B Conrad, M Mitzenmacher (2004), "Power laws for monkeys typing randomly: the case of unequal probabilities", IEEE Transactions on Information Theory, 50(7):1403-1414.
    [PDF] [ Abstract: An early result in the history of power laws, due to Miller, concerned the following experiment. A monkey types randomly on a keyboard with N letters (N>1) and a space bar, where a space separates words. A space is hit with probability p; all other letters are hit with equal probability (1-p)/N. Miller proved that in this experiment, the rank-frequency distribution of words follows a power law. The case where letters are hit with unequal probability has been the subject of recent confusion, with some suggesting that in this case the rank-frequency distribution follows a lognormal distribution. We prove that the rank-frequency distribution follows a power law for assignments of probabilities that have rational log-ratios for any pair of keys, and we present an argument of Montgomery that settles the remaining cases, also yielding a power law. The key to both arguments is the use of complex analysis. The method of proof produces simple explicit formulas for the coefficient in the power law in cases with rational log-ratios for the assigned probabilities of keys. Our formula in these cases suggests an exact asymptotic formula in the cases with an irrational log-ratio, and this formula is exactly what was proved by Montgomery. ]

  10. E Dellandr, P Makris, N Vincent (2004), "Zipf analysis of audio signals" Fractals, 12(1):73-85.
    [ abstract]

  11. Han Ding-Ding, Liu Jin-Gao, Ma Yu-Gang, Cai Xiang-Zhou, Shen Wen-Qing (2004), "Scale-free download network for publications", Chinese Physics Letters, 21(9):1855-1857.

  12. Yaniv Dover (2004), "A short account of a connection of power laws to the information entropy", Physica A, 334:591-599.
    [ abstract]

  13. Stefan Evert (2004), "A simple LNRE model for random chracter sequences", Proceedings of 7emes Journees internationales d'Analyse statistique des Donnees Textuelles (JADT'2004), pp.411-422.

  14. JF Fontanari, LI Perlovsky (2004), "Solvable null model for the distribution of word frequencies", Physical Review E, 70:042901.

  15. Yoshi Fujiwara (2004), "Zipf law in firms bankruptcy", Physica A, 337:219-230.
    [ abstract]

  16. Yoshi Fujiwara, Hideaki Aoyama, Corrado Di Guilmi, Wataru Souma, Mauro Gallegati (2004), "Gibrat and Pareto-Zipf revisited with European firms", Physica A, 344:112-116.
    [ abstract]

  17. Yoshi Fujiwara, Corrado Di Guilmi, Hideaki Aoyama, Mauro Gallegati, Wataru Souma (2004), "Do Pareto-Zipf and Gibrat laws hold true? An analysis with European firms", Physica A, 335:197-216.
    [ abstract]

  18. Asako Fukumoto, Dong Sheng Cai, Michiaki Yasumura (2004), "Statistical analysis of impressionist color", Proceedings of the 1st Symposium on Applied perception in graphics and visualization, pp.177-177 (ACM Press).

  19. Xavier Gabaix, Yannis Ioannides (2004), "The evolution of city size distributions", in Handbook of Urban and Regional Economics, Volume 4, Chapter 53, eds. V Henderson and JF Thisse, pp.2341-2378 (North-Holland).

  20. Alexander Gelbukh, Grigori Sidorov (2004), "Zipf and Heaps Laws' coefficients depend on language", Proceedings of CICLing-2001, Conference on Intelligent Text Processing and Computational Linguistics, February 18-24, 2001, Mexico City. Lecture Notes in Computer Science N 2004, ISSN 0302-9743, ISBN 3-540-41687-0, Springer-Verlag, pp. 332-335.
    [Heaps' law]

  21. C Lee Giles, Isaac G Councill (2004), "Who gets acknowledged: measuring scientific contributions through automatic acknowledgement indexing", Proceedings of the National Academy of Sciences, 101(51):17599-17604.

  22. LQ Ha, FJ Smith (2004), "Zipf and Type-Token rules for the English and Irish languages", Proceedings of Modelling for the Identification of Languages Workshop (MIDL 2004), pp.65-70.
    [PDF]

  23. Wolfgang Hilberg (2004), "Some results of quantitative linguistics derived from a structural language model", Glottometrics, 7:1-24.

  24. Osama A Hussien (2004), "The Lerchianness plot", Glottometrics, 7:50-64.
    [ Abstract: Hoaglin (1980) introduced the Poissonness plot to detect departures of data from a hypothesized Poisson model. Hoaglin and Tukey (1985) extended the use of the Poissonness plot to other one parameter discrete distributions include geometric and logarithmic distributions. On the other hand, in many applications the Zipf plot is used to verify that the data obeys the Zipf's law. We present a unified presentation of these plots and extend its use for 3-parameter families. In particular, the Lerch family of discrete distributions, which includes as special cases the Zipf, Zipf-Mandelbrot, the logarithmic and the polylogarithmic distributions. A comparison with other types of plots for discrete distributions shows the resistance and power of this plot, the Lerchianness plot. We apply this plot to some of the Hoaglin and Tukey data sets and show it gives better fits. In addition, an application to subject and letter frequencies and to Egyptian city sizes has been presented.]

  25. JR Iglesias, S Gonçalvesa, G Abramsonb, JL Vega (2004), "Correlation between risk aversion and wealth distribution", Physica A, 342:186-192.
    [ abstract]
    [Pareto's principle]

  26. Taisei Kaizoji, Masahide Nuki (2004), "Scaling law for the distribution of fluctuations in share volume", Fractals, 12(1):49-53.
    [ abstract]

  27. Kai de Lange Kristiansen , Geir Helgesen, Arne T Skjeltorp (2004), "Experimental observation of Zipf-Mandelbrot relation", Physica A, 335:413-420.
    [ abstract]

  28. Terutaka Nabeshima , Yukio-Pegio Gunji (2004), "Zipf's law in phonograms and Weibull distribution in ideograms: comparison of English with Japanese", Biosystems, 73(2):131-139.
    [Abstract: Frequency distribution of word usage in a word sequence generated by capping is estimated in terms of the number of "hits" in retrieval of web-pages, to evaluate structure of semantics proper not to a particular text but to a language. Especially we compare distribution of English sequences with Japanese ones and obtain that, for English and Japanese phonogram, frequency of word usage against rank follows power-law function with exponent 1 and, for Japanese ideogram, it follows stretched exponential (Weibull distribution) function. We also discuss that such a difference can result from difference of phonogram based- (English) and ideogram-based language (Japanese). ]
    [ abstract]

  29. Wentian Li, Ivo Grosse (2004), "Comments on 'Linguistic features in eukaryotic genomes'" (letters to the editor), Complexity, 9(4):10-11.

  30. Daniel F Merriam, Lawrence J Drew, John H Schuenemeyer (2004), "Zipf's Law: a viable geological paradigm?", Natural Resources Researc, 13(4):265-271.
    [ abstract]

  31. Michael Mitzenmacher (2004), "Dynamic models for file sizes and double Pareto distributions", Internet Mathematics, 1(3):305-334.
    [PDF]

  32. T Mizuno, M Takayasu, H Takayasu (2004), "The mean-field approximation model of company's income growth", Physica A, 332:403-411.
    [ abstract]

  33. Ioan-Iovitz Popescu (2004), "On a Zipf's Law extension to impact factors", Glottometrics, 6:83-93.
    [Abstract: The Lavalette's law is further promoted with empirical arguments from its original area of impact factors of scientific journals. Alike its famous precursory Zipf's and Mandelbrot's rank-frequency laws, the Lavalette's law offers the promise of various applications also beyond its original meaning. Thus, an alternate reduced rank-frequency distribution is introduced by assigning equal ranks to the words with the same frequency. Also the fractal behavior of

  34. Philip K Rawlings, David Reguera, Howard Reiss (2004), "Entropic basis of the Pareto law", Physica A, 343:643-652.
    [ abstract]
    [Pareto's principle]

  35. WJ Reed (2004), "On Pareto's law and the determinants of Pareto exponents", Journal of Income Distribution, 13:7-17.
    [Pareto's principle]

  36. WJ Reed, BD Hughes (2004), "A model explaining the size distribution of gene and protein families", Mathematical Biosciences, 189(1):97-102.

  37. B Sigurd, M Eeg-Olofsson, J van Weijer (2004), "Word length, sentence length and frequency - Zipf revisited" Studia Linguistica, 58(1):37-52.