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2003

  1. Jose Alvarez-Ramirez, Monica Merazb, Gustavo Gallegos (2003), "Zipf-Mandelbrot scaling law for world track records", Physica A, 328:545-560.
    [ abstract]

  2. M Ausloos, P Bronlet (2003), "Strategy for investments from Zipf law(s)", Physica A, 324:30-37.
    [ abstract]

  3. eds. Pierre Baldi, Paolo Frasconi, Padhraic Smyth (2003), Moldeling the Internet and the Web -- Probabilistic Methods and Algorithms (John Wiley & Sons).

  4. M Batty, N Shiode (2003), "Population growth dynamics in cities, countries, and communication systems", in Advanced Spatial Analysis, ed.s PA Longley, M Batty, pp.?-? (ESRI Press, Redlands, CA).

  5. Duncan Black, Vernon Henderson (2003), "Urban evolution in the USA", Journal of Economic Geography, 3:343-372.
    [PDF]

  6. P Bronlet, M Ausloos (2003), "Generalized (m, k)-Zipf law for fractional Brownian motion-like time series with or without effect of an additional linear trend", International Journal of Modern Physics C, 14(3):351-365.

  7. Enrique Canessa (2003), "Theory of analogous force on number sets", Physica A, 328(1-2):44-52.
    [Benford's law]

  8. Ye-Sho Chen, P Pete Chong (2003), "Information Productivity", in Encyclopedia of Library and Information Science , ed. Miriam Drak, pp. 1316-1324 (Dekker).
    [ abstract]

  9. C Di Guilmi, E Gaffeo, M Gallegati (2003), "Power law scaling in the world income distribution", Economics Bulletin, 15(6):1-7.

  10. Attila Frigyesi, David Gisselsson, Felix Mitelman and Mattias H÷glund (2003), "Power law distribution of chromosome aberrations in cancer", Cancer Research, 63:7094-7097.

  11. Cesare Furlanello, Maria Serafini, Stefano Merler, Giuseppe Jurman (2003), "Entropy-based gene ranking without selection bias for the predictive classification of microarray data", BMC Bioinformatics, 4:54.

  12. Leo Egghe, Ronald Rousseau (2003), "Size-frequency and rank-frequency relations, power laws and exponentials: a unified approach", Progress in Natural Science, 13(6):478-480.

  13. Ramon Ferrer i Cancho, Ricard V Sole (2003), "Least effort and the origins of scaling in human language", Proceedings of the National Academy of Scinces, 100(3):788-791.
    [ Abstract: The emergence of a complex language is one of the fundamental events of human evolution, and several remarkable features suggest the presence of fundamental principles of organization. These principles seem to be common to all languages. The best known is the so-called Zipf's law, which states that the frequency of a word decays as a (universal) power law of its rank. The possible origins of this law have been controversial, and its meaningfulness is still an open question. In this article, the early hypothesis of Zipf of a principle of least effort for explaining the law is shown to be sound. Simultaneous minimization in the effort of both hearer and speaker is formalized with a simple optimization process operating on a binary matrix of signal-object associations. Zipf's law is found in the transition between referentially useless systems and indexical reference systems. Our finding strongly suggests that Zipf's law is a hallmark of symbolic reference and not a meaningless feature. The implications for the evolution of language are discussed. We explain how language evolution can take advantage of a communicative phase transition.]

  14. Xavier Gabaix, Parameswaran Gopikrishnan, Vasiliki Plerou, H Eugene Stanley (2003), "A theory of power-law distributions in financial market fluctuations", Nature, 423:267-270.
    [ abstract]

  15. E Gaffeo, M Gallegati, A Palestrini (2003), "On the size distribution of firms: additional evidence from the G7 countries", Physica A, 324(1-2):117-123.
    [ abstract]

  16. Le Quan Ha, EI Sicilia-Garcia, Ji Ming, FJ Smith (2003), "Extension of Zipf's law to words and character N-gram for English and Chinese", Computational Linguistics and Chinese Language Processing, 8(1):77-102.
    [PDF]

  17. Yannis M Ioannides, Henry G Overman (2003), "Zipf's law for cities: an empirical examination", Regional Science and Urban Economics, 33(2):127-137.
    [Abstract: We use data for metro areas in the United States, from the US Census for 1900-1990, to test the validity of Zipf's Law for cities. Previous investigations are restricted to regressions of log size against log rank. In contrast, we use a nonparametric procedure to calculate local Zipf's exponents from the mean and variance of city growth rates. This also allows us to test for the validity of Gilbrat's law for city growth processes. Despite variation in growth rates as a function of city size, Gilbrat's Law does hold. In addition the local Zipf exponents are broadly consistent with Zipf's Law. Deviation from Zipf's Law are easily explained by deviation from Gilbrat's Law. ]

  18. R Kali (2003), "The city as a giant component: a random graph approach to Zipf's law", Applied Economics Letters, 10(11):717-720.

  19. M Kot, E Silverman, CA Berg (2003), "Zipf's law and the diversity of biology newsgroups", Scientometrics, 56(2):247-257.

  20. Bill Manaris, Dallas Vaughan, Christopher Wagner, Juan Romero, Robert B Davis (2003), "Evolutionary music and the Zipf-Mandelbrot law: developing fitness functions for pleasant music", in Applications of Evolutionary Computing: EvoWorkshops 2003 (Lecture Notes in Computer Science, Volumn 2611), pp. 522-534 (Springer).
    [Abstract: A study on a 220-piece corpus (baroque, classical, romantic, 12-tone, jazz, rock, DNA strings, and random music) reveals that aesthetically pleasing music may be describable under the Zipf-Mandelbrot law. Various Zipf-based metrics have been developed and evaluated. Some focus on music-theoretic attributes such as pitch, pitch and duration, melodic intervals, and harmonic intervals. Others focus on higher-order attributes and fractal aspects of musical balance. Zipf distributions across certain dimensions appear to be a necessary, but not sufficient condition for pleasant music. Statistical analyses suggest that combinations of Zipf-based metrics might be used to identify genre and/or composer. This is supported by a preliminary experiment with a neural network classifier. We describe an evolutionary music framework under development, which utilizes Zipf-based metrics as fitness functions. ]

  21. Michael Mitzenmacher (2003), "A brief history of generative models for power law and lognormal distributions", Internet Mathematics, 1(2):226-251.
    [PDF]

  22. M Naldi (2003), "Concentration indices and Zipf's law", Economic Letters, 78(3):329-334.
    [ abstract]

  23. O Ogasawara, S Kawamoto, K Okubo (2003), "Zipf's law and human transcriptomes: an explanation with an evolutionary model", CR Biologies, 326(10-11):1097-1101.

  24. Ioan-Iovitz Popescu (2003), "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 self-similarity of actual rank-frequency curves belonging to different scales is revealed. ]

  25. William J Reed (2003), "The Pareto law of incomes-an explanation and an extension", Physica A, 319:469-486.
    [Pareto's principle]

  26. William J Reed, BD Hughes (2003), "On the distribution of family names", Physica A, 319:579-590.

  27. Roberto Ren˛, Rosario Rizza (2003), "Is volatility lognormal? Evidence from Italian futures", Physica A, 322:620-628.
    [ abstract]
    [Pareto's principle]

  28. Alan Rigg (2003), How to Beat the 80/20 Rule in Selling (Hats Off Books).
    [Pareto's principle]

  29. Dimitrios N Serpanos, Wayne H Wolf (2003), "Caching Web objects using Zipf's law", Proceedings of SPIE Vol 3527, Multimedia Storage and Archiving Systems III, eds. CCJ Kuo, SF Chang, S Panchanathan, pp.320-326.
    [ abstract]

  30. MV Simkin, VP Roychowdhury (2003), "Read before you cite!", Complex Systems, 14(3):269-274.
    [ Abstract: We report a method of estimating what percentage of people who cited a paper had actually read it. The method is based on a stochastic modeling of the citation process that explains empirical studies of misprint distributions in citations (which we show follows a Zipf law). Our estimate is only about 20% of citers read the original. ]

  31. Alfred Ultsch (2003), "Pareto density estimation: probablity density estimation for knowledge discovery", in Innovations in Classification, Data Science, and Information Systems, pp.91-102 (Springer).
    [Pareto's principle]

  32. Thomas Wilhelm, Peter Hanggi (2003), "Power-law distributions resulting from finite resources", Physica A, 329:499-508.
    [PDF]

  33. Matthieu Wyart, Jean-Philippe Bouchaud (2003), "Statistical models for company growth", Physica A, 326:241-255.
    [ abstract]
    [Pareto's principle]