A scaling law beyond Zipf's law and its relation to Heaps' law

New Journal of Physics

Volumn 15, Issue , 2013, Pages

  Font Clos, Francesc ^a,b   Boleda, Gemma ^c   Corral, Álvaro ^a  

^a CENTRE DE RECERCA MATEMÀTICA   (Spain)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION OF FREQUENCY; LOW-FREQUENCY; QUANTITATIVE LINGUISTICS; SCALE PARAMETER; SCALING BEHAVIOR; SCALING FORMS; STATISTICAL PROPERTIES; WORD FREQUENCIES;

PHYSICS; RESEARCH;

COMPUTATIONAL LINGUISTICS;

EID: 84885126046     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/15/9/093033     Document Type: Article

References (43)

1. Zipf G K 1949 Human Behavior and the Principle of Least Effort (Reading, MA: Addison-Wesley)
2. Mandelbrot B B 1961 Structures of Language and its Mathematical Aspects ed R Jacobsen (New York: American Mathematical Society) pp 214-7
3. Ferrer i Cancho R and Hernández-Fernández A 2008 Power laws and the golden number Problems of General, Germanic and Slavic Linguistics ed G Altmann, I Zadorozhna and Y Matskulyak (Chernivtsi: Books-XXI) pp 518-23
4. Adamic L A and Huberman B A 2002 Glottometrics 3 143
5. Kornai A 2002 Glottometrics 4 61
6. Zanette D 2012 Statistical Patterns in Written Language
7. Zanette D and Montemurro M 2005 J. Quantum Linguist. 12 29
8. Ferrer i Cancho R 2005 Eur. Phys. J. B 44 249 (Pubitemid 40574028)
9. Clauset A, Shalizi C R and Newman M E J 2009 SIAM Rev. 51 661
10. Corral A, Font F and Camacho J 2011 Phys. Rev. E 83 066103
11. Miller G A 1957 Am. J. Psychol. 70 311
12. Li W 1992 IEEE Trans. Inform. Theory 38 1842 (Pubitemid 23585898)
13. Simon H A 1955 Biometrica 42 425
14. Newman M E J 2005 Contemp Phys. 46 323 (Pubitemid 41335662)
15. Saichev A, Malevergne Y and Sornette D 2010 Theory of Zipf's Law and Beyond (Lecture Notes in Economics and Mathematical Systems vol 632) (Berlin: Springer)
16. Ferrer i Cancho R and Solé R V 2003 Proc. Natl Acad. Sci. USA 100 788 (Pubitemid 36183908)
17. Corominas-Murtra B, Fortuny J and Solé R V 2011 Phys. Rev. E 83 036115
18. Ferrer i Cancho R 2005 Eur. Phys. J. B 47 449 (Pubitemid 41563613)
19. Düring B, Matthes D and Toscani G 2009 Riv. Mat. Univ. Parma 1 199
20. Bak P 1996 How Nature Works: The Science of Self-Organized Criticality (New York: Copernicus)
21. Mitzenmacher M 2004 Internet Math. 1 226
22. Ferrer i Cancho R and Elvevåg B 2010 PLoS ONE 5 e9411
23. Dickman R, Moloney N R and Altmann E G 2012 J. Stat. Mech. 2012 P12022
24. Christensen K and Moloney N R 2005 Complexity and Criticality (London: Imperial College Press)
25. Baayen H 2001 Word Frequency Distributions (Dordrecht: Kluwer)
26. Herdan G 1964 Quantitative Linguistics (London: Butterworths)
27. Gerlach M and Altmann E G 2013 Phys. Rev. X 3 021006
28. van Leijenhorst D and van der Weide T 2005 Inform. Sci. 170 263 (Pubitemid 40183409)
29. Serrano M A, Flammini A and Menczer F 2009 PLoS ONE 4 e5372
30. Lü L, Zhang Z-K and Zhou T 2010 PLoS ONE 5 e14139
31. Powers D M W 1998 NeMLaP3/CoNLL '98: Proc. of the Joint Conf. on New Methods in Language Processing and Computational Natural Language Learning (Stroudsburg, PA: Association for Computational Linguistics) pp 151-60
32. Bernhardsson S, da Rocha L E C and Minnhagen P 2009 New J. Phys. 11 123015
33. Stauffer D and Aharony A 1994 Introduction To Percolation Theory 2nd edn (Boca Raton, FL: CRC)
34. Zapperi S, Lauritsen K B and Stanley H E 1995 Phys. Rev. Lett. 75 4071
35. Corral A and Font-Clos F 2013 Self-Organized Critical Phenomena ed M Aschwanden (Berlin: Open Academic Press) pp 183-228
36. Corral A, Boleda G and Ferrer-i-Cancho R 2013 in preparation
37. Hankey A and Stanley H E 1972 Phys. Rev. B 6 3515
38. Ferrer i Cancho R and Solé R V 2001 J. Quantum Linguist. 8 165
39. Petersen A M, Tenenbaum J N, Havlin S, Stanley H E and Perc M 2012 Sci. Rep. 2 943
40. Baixeries J, Elvevåg B and Ferrer-i R 2013 Cancho PLoS ONE 8 e53227
41. Schmid H 1994 Proc. Int. Conf. on New Methods in Language Processing vol 12 (Manchester: Citeseer) pp 44-9
42. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in FORTRAN 2nd edn (Cambridge: Cambridge University Press)
43. Devroye L 1986 Non-Uniform Random Variate Generation (New York: Springer)