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2001

  1. Robert L Axtell (2001), "Zipf distribution of US firm sizes", Science, 293(5536):1818-1820.
    [PDF]

  2. RH Baayen (2001), Word Frequency Distributions (Kluwer).

  3. Karl-Heinz Best (2001), "Probability distributions of language entities", Journal of Quantitative Linguistics, 8(1):1-11.
    [ Abstract: Continuing Best (1998), this paper presents new investigations of the Göttingen Project on Quantitative Linguistics which aims at the examination of the laws controlling the frequency distributions of different kinds of linguistic units in texts and lexica. The main topic was the distributions of word lengths in texts; up to now, more than 40 languages have been investigated with promising results. In the mean time, some word length distributions in lexica are considered as well as the distributions of many other entities in texts. New results concerning the distributions of parts of speech suggest a more general validity of the law, which in the very beginning was intended for word length distributions only. For the time being, there exist very few test results which do not support it. The law of probability distributions concerning classes of entities can be seen as a kind of 'horizontal' language structuring beside others like the distributions of single entities (graphemes, phonemes, word forms, etc.), which follow several empirical distributions (Zipf-Mandelbrot, Geometric and Hypergeometric Distributions), and a 'vertical' one by the Menzerath-Altmann law . Together with the Köhlerian circle, a multiple structuring of language and texts has to be conceived of. ]

  4. Zhiqiang Bi, Christos Faloutsos, Flip Korn (2001), "The 'DGX' distribution for mining massive, skewed data" Proceedings of the 7th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD'01), pp.17-26 (ACM Press).

  5. Stefan Bornholdt, Holger Ebel (2001), "World Wide Web scaling exponent from Simon's 1955 model", Physical Review E, 64(3):035104.
    [ Abstract: The statistical properties of the World Wide Web have attracted considerable attention recently since self-similar regimes were first observed in the scaling of its link structure. One characteristic quantity is the number of (in-)links k that point to a particular web page. Its probability distribution P(k) shows a pronounced power-law scaling P(k)~k-gamma that is not readily explained by standard random graph theory. Here, we recall a simple and elegant model for scaling phenomena in general copy- and growth-processes as proposed by Simon in 1955. When combined with an experimental measurement of network growth in the World Wide Web, this classical model is able to model the in-link dynamics and predicts the scaling exponent gamma=2.1 in accordance with observation. ]

  6. Steven Brakman, Harry Garretsen, Charles van Marrewijk (2001), An Introduction to Geographical Economics (Cambridge University Press).

  7. Juan Camacho, Richard V Sole (2001), "Scaling in ecological size spectra", Europhysics Letters, 55:774-780.

  8. J Chen, PP Chong, target=_> Y Chen (2001), "Decision criteria consolidation: a theoretical foundation of Pareto principle to Michael Porter's competitive forces," Journal of Organizational Computing and Electronic Commerce, 11(1):1-14.

  9. AB Downey (2001), "The structural cause of file size distributions", Proceedings of Ninth International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems 2001 (MASCOTS'01), pp.361-370 (IEEE Press).
    [ Abstract: We propose a user model that explains the shape of the distribution of file sizes in local file systems and in the World Wide Web. We examine evidence from 562 file systems, 38 Web clients and 6 Web servers, and find that this model is an accurate description of these systems. We compare this model to an alternative that has been proposed, the Pareto model. Our results cast doubt on the widespread view that the distribution of file sizes is long-tailed; we discuss the implications of this conclusion for proposed explanations of self-similarity in the Internet. ]

  10. AB Downey (2001), "Evidence for long tailed distributions in the internet", Proceedings of the 1st ACM SIGCOMN Workshop on Internet Measurement, pp.229-241 (ACM Press).
    [ Abstract: We review evidence that Internet traffic is characterized by long-tailed distributions of interarrival times, transfer times, burst sizes, and burst lengths. We propose a new statistical technique for identifying long-tailed distributions, and apply it to a variety of datasets collected on the Internet. We find that there is little evidence that interarrival times and transfer times are long-tailed, but that there is some evidence for long-tailed burst sizes. We speculate on the causes of long-tailed bursts.]

  11. A Dragulescu, VM Yakovenko (2001), "Evidence for the exponential distribution of income in the USA", European Physical Journal B, 20:585-589.
    [Pareto's principle]

  12. A Dragulescu, VM Yakovenko (2001), "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United State", Physica A, 299:213-221.
    [ abstract]
    [Pareto's principle]

  13. Ramon Ferrer i Cancho, Richard V Sole (2001), "Two regimes in the frequency of words and the origins of complex lexicons: Zipf's law revisited", Journal of Quantitative Linguistics, 8(3):165-173.

  14. Alexander Gelbukh, Grigori Sidorov (2001), "Zipf and Heaps laws' coefficients depend on language", Proceeding of Conference on Intelligent Text Processing and Computational Linguistics (CICLing'2001), ed. Alexander Gelbukh, Lecture Notes in Computer Science, Vol 2004, pp. 332-335 (Springer-Verlag).
    [Heaps' law]

  15. W Gong, Y Liu, Y Misra, D Towsley (2001), "On the tails of web file size distributions", Proceedings of 39th Allerton Conference on Communication, Control, and Computing.

  16. P Harremoees, F Topsoe (2001), "Maximum entropy fundamentals", Entropy, 3:227-292.

  17. Nick Hatzigeorgiu, George Mikros, George Carayannis (2001), "Word Length, Word Frequencies and Zipf’s Law in the Greek Language", Journal of Quantitative Linguistics, 8(3):175-185.
    [ abstract]

  18. Zhi-Feng Huang, Sorin Solomon (2001), "Finite market size as a source of extreme wealth inequality and market instability", Physica A, 294:503-513.
    [Pareto's principle]

  19. T Knudsen (2001), "Zipf's law for cities and beyond: the case of Denmark", American Journal of Economics and Sociology, 1(1):123-146.

  20. Vladimir A Kuznetsov (2001), "Distribution associated with stochastic processes of gene expression in a single eukaryotic cell", EURASIP Journal on Applied Signal Processing, 4:285-296.
    [ PDF ]

  21. M Levene, J Borges, G Loizou (2001), "Zipf's law for web surfers", Knowledge and Information Systems, 3:120-129.

  22. E Limpert, WA Stahl, M Abbt (2001), "Lognormal distributions across the sciences: keys and clues", Bioscience, 51(5):341-352.
    [PDF]

  23. Yoram Louzoun, Sorin Solomon (2001), "Volatility driven market in a generalized Lotka–Voltera formalism", Physica A, 302:220-233.
    [ abstract]
    [Pareto's principle]

  24. Robert Losee (2001), "Term dependence: a basis for Luhn and Zipf models", Journal of the American Society for Information Science and Technology, 52(12):1019-1025.
    [ PDF]

  25. Marcelo A Montemurro (2001), "Beyond the Zipf-Mandelbrot law in quantitative linguistics", Physica A, 300(3-4):567-578.

  26. Koichiro Nagumo, Akiko M. Nakamura (2001), "Reconsideration of crater size-frequency distribution on the moon: effect of projectile population and secondary craters", Advances in Space Research, 28(8):1181-1186.
    [ abstract]

  27. Espaminondas Panas (2001), "The generalized Torquist: specification and estimation of a new vocabulary-text size function", Journal of Quantitative Linguistics, 8(3):233-252.
    [Heaps' law]

  28. L Pietronero, E Tossati, V Tossati, A Vespignani (2001), "Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf", Physica A, 293:297-304.
    [Benford law]

  29. Joshua B. Plotkin, Martin A. Nowak (2001), "Major transitions in language evolution", Entropy, 3(4):227-246.
    [abstract]

  30. William J Reed (2001), "The Pareto, Zipf and other power laws", Wconomics Letters, 74:15-19.
    [Pareto's principle]

  31. Sorin Solomon, Peter Richmond (2001), "Power laws of wealth, market order volumes and market returns", Physica A, 299:188-197.
    [ abstract]

  32. Wataru Souma (2001), "Universal structure of the personal income distribution" Fractals, 9(4):463-470.
    [ abstract]
    [Pareto's principle]

  33. Matthias Sutter (2001), "Power laws of research output. evidence for journals of economics", Scientometrics, 51(2):405-414.

  34. G Wimmer, G Altmann (2001), "Models of rank-frequency distributions in language and music", in Text as a Linguistic Paradigm: Levels, Constituents, Constructs. Festschrift in Honor of Ludek Hrebicek , eds. L Uhlirova, G Wimmer, G Altmann, R Kohler, pp. 282-294 (WVT, Trier).

  35. S Wuchty (2001), "Scale-free behavior in protein domain networks", Molecular Biology and Evolution, 18(9):1694-1702.

  36. Damian H Zanette, Susanna C Manrubia (2001), "Vertical transmission of culture and the distribution of family names", Physica A, 295(1-2):1-8.
    [ abstract]