Universality of rank-ordering distributions in the arts and sciences

PLoS ONE

Volumn 4, Issue 3, 2009, Pages

  Martínez Mekler, Gustavo ^a,b   Martínez, Roberto Alvarez ^b   del Río, Manuel Beltrán ^b   Mansilla, Ricardo ^b   Miramontes, Pedro ^b   Cocho, Germinal ^b  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ART; ARTICLE; CONVERGENT EVOLUTION; GENE DUPLICATION; GENE MAPPING; GENE MUTATION; GENE SEQUENCE; GENETIC VARIABILITY; NATURAL SCIENCE; NONHUMAN; NORMAL VALUE; PHENOMENOLOGY; PROBABILITY; SCIENCE; STATISTICAL ANALYSIS; STATISTICAL MODEL; ALGORITHM; ANIMAL; BIBLIOMETRICS; CAT; CODON; HUMAN; MUSIC; PLANT; STATISTICAL DISTRIBUTION; STATISTICS;

ALGORITHMS; ANIMALS; ART; BIBLIOMETRICS; CATS; CODON; HUMANS; MUSIC; NATURAL SCIENCE DISCIPLINES; NATURE; PLANTS; STATISTICAL DISTRIBUTIONS;

EID: 62849109157     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0004791     Document Type: Article

References (32)

1. Barabasi A-L, Albert R (1999) Emergence of Scaling in Random Networks. Science 286: 509-512.
2. Watts DJ, Strogatz SH (1998) Collective dynamics of 'small-world' networks. Nature 393: 440-442.
3. Amaral LAN, Scala A, Barthélémy M, Stanley HE. Classes of small-world networks. PNAS 97: 11149-11152.
4. Newman MJ (2005) Power Laws, Pareto Distributions and Zipf's Law. Contemporary Physics 46: 323-351.
5. Sornette D (2003) Critical Markets Crashes. Physics Reports 378: 1-98.
6. Hong H, Ha M, Park H (2007) Finite-Size Scaling in Complex Networks. Phys Rev Lett 98: 258701 -1-4.
7. Watts DJ (1999) Small Worlds: The Dynamics of Networks Between Order and Randomness. Princeton, NJ: Princeton University Press. 264 p.
8. Albert R, Barabasi A-L (2002) Statistical mechanics of complex networks. Rev Mod Phys 74: 47-97.
9. Laherrere J, Sornette D (1998) Stretched exponential distribution in nature and economy: "fat tails" with characteristic scales. Eur Phys J B 2 2: 525-539.
10. Montroll EW, Shlesinger MF (1983) Maximum entropy formalism, fractals, scaling phenomena,and 1/f noise: A tale of tails. J Stat Phys 32: 209-230.
11. Zipf GK (1949) Human Behavior and the Principle of Least Effort. Cambridge, MA: Addison-Wesley Press. 573 p.
12. Quan HL, Sicilia-García EL, Ming J, Smith FJ (2000) Procceedings of the 17th International Conference on Computer Linguistics, Montreal, 2002.
13. Ferrer i Cancho F, Sole R (2001) Two Regimes in the Frequency of Words and the Origins of Complex Lexicons: Zipf's Law Revisited, Quantitative Linguistics 8: 165-173.
14. Bury K (1999) Statistical Distributions in Engineering. Cambridge, UK: Cambridge University Press. 362 p.
15. McDonald JB (1984) Some Generalized Functions for the Size Distribution of Income. Econometrica 52: 647-664.
16. Beltrán del Rio M, Cocho G, Naumis GG (2008) Universality in the tail of musical note rank distribution. Physica A 387: 5552-5560.
17. Bazzaz FA (1975) Plant Species Diversity in Old-Field Successional Ecosystems in Southern Illinois. Ecology 56: 485-488.
18. Destexhe A, Contreras D, Steriade M (1999) Spatiotemporal Analysis of Local Field Potentials and Unit Discharges in Cat Cerebral Cortex during Natural Wake and Sleep State. Journal of Neuroscience 19: 4595-4608.
19. Academic Ranking of World Universities 2007 http://ed.sjtu.edu.cn/rank/ 2007/ranking2007.htm.
20. Mansilla R, Köppen E, Cocho G, Miramontes P (2007) On the behavior of journal impact factor rank-order distribution. Journal of Informetrics 1: 155-160.
21. Spanish National Statistics Institute (2003).
22. Salgado H, et al. (2006) RegulonDB (version 5.0): Escherichia coli K-12 transcriptional regulatory network, operon organization, and growth conditions. Nucleic Acds Res 34: (Database issue) D394-397.
23. Albert R, Barabasi A-L (2000) Topology of Evolving Networks: Local Events and Universality. Phys Rev Lett 85: 5234-5237.
24. Naumis GG, Cocho G (2008) Tail universalities in rank distributions as an algebraic problem: The beta-like function. Physica A 387: 84-96.
25. Li W (1991) Expansion-modification Systems: A model for Spatial 1/f Spectra. Phys Rev A 43: 5240-5260.
26. Czirok A, Mantegna RN, Havlin S, Stanley HE (1995) Correlations in Binary sequences and a Generalized Zipf's analysis.
27. Frisch U (1995) Turbulence, The Legacy of A. N. Kolmogorov. Cambridge, UK: Cambridge University Press. 296 p.
28. Kadanoff LP (2000) Statistical Physics: Statics, Dynamics and Renormalization. Singapore: World Scientific Publishing Co. 483 p.
29. Concise Oxford Dictionary 9th Edition. Oxford, UK: Oxford University Press.
30. Popescu I (2003) On a Zipf's law extension to impact factors. Glottometrics 6: 83-89.
31. Mexican National Institute of Statistics, Geography and Informatics (2003).
32. Major Figures on 2000 Population Census of China (2001) China: China Statistical Press 2001.