Scaling laws of human interaction activity

Proceedings of the National Academy of Sciences of the United States of America

Volumn 106, Issue 31, 2009, Pages 12640-12645

  Rybski, Diego ^a   Buldyrev, Sergey V ^b   Havlin, Shlomo ^c   Liljeros, Fredrik ^d   Makse, Hernán A ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

^b YESHIVA UNIVERSITY   (United States)

^c BAR ILAN UNIVERSITY   (Israel)

^d STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Gibrat's law; Growth; Long term correlations; Memory; Network growth

Indexed keywords

ARTICLE; CORRELATION ANALYSIS; DYNAMICS; ECONOMIC ASPECT; ECONOMIC DEVELOPMENT; ECONOMICS; HUMAN; INTERNET; INTERPERSONAL COMMUNICATION; LAW; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; POLITICAL SYSTEM; POPULATION GROWTH; PRIORITY JOURNAL; SCALE UP; SOCIAL BEHAVIOR; SOCIAL INTERACTION; SOCIAL NETWORK; SOCIETY; HUMAN RELATION; SOCIAL SUPPORT;

COMMUNICATION; HUMANS; INTERNET; INTERPERSONAL RELATIONS; SOCIAL SUPPORT;

EID: 69149106842     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0902667106     Document Type: Article

References (37)

1. Merton RK (1936) The unanticipated consequences of purposive social action. Am Sociol Rev 1:894-904.
2. Weber M (1968) Economy and Society. (University of California Press, Berkeley), Vol. 1.
3. Giddens A (1993) New Rules of Sociological Method. (Stanford Univ Press, Stanford).
4. Durkheim É (1897) Le suicide. Étude de sociologie. (Les Presses Universitaires de France, Paris).
5. Pareto V (1896) Cours d'Economie Politique. (Droz, Geneva).
6. Zipf G (1932) Selective Studies and the Principle of Relative Frequency in Language. (Harvard Univ Press, Cambridge, MA).
7. Gibrat R (1931) Les Inégalités Économiques. (Libraire du Recueil Sierey, Paris).
8. Sutton J (1997) Gibrat's legacy. J Econ Lit 35:40-59.
9. Gabaix X (1999) Zipf's law for cities: An explanation. Q J Econ 114:739-767.
10. Holme P, Edling CR, Liljeros F (2004) Structure and time evolution of an Internet dating community. Soc Networks 26:155-174.
11. Paxson V, Floyd S (1995) Wide area traffic: The failure of Poisson modeling. IEEE/ACM Trans Networking 3:226-244.
12. Dewes C, Wichmann A, Feldman A (2003) Proceedings of the. 2003 ACM SIGCOMM Conference on Internet Measurement (IMC-03). (ACM Press, New York).
13. Barabási A-L (2005) The origin of bursts and heavy tails in human dynamics. Nature 435:207-211.
14. Oliveira JG, Barabási AL (2005) Darwin and Einstein correspondence patterns. Nature 437:1251.
15. Zhou T, Kiet HAT, Kim BJ, Wang BH, Holme P (2008) Role of activity in human dynamics. Europhys Lett 82:28002.
16. Stanley MHR, et al. (1996) Scaling behaviour in the growth of companies. Nature 379:804-806.
17. Plerou V, Amaral LAN, Gopikrishnan P, Meyer M, Stanley HE (1999) Similarities between the growth dynamics of university research and of competitive economic activities. Nature 400:433-437.
18. Matia K, Amaral LAN, Luwel M, Moed HF, Stanley HE (2005) Scaling phenomena in the growth dynamics of scientific output. J Am Soc Inf Sci Tec 56:893-902.
19. Rozenfeld HD, et al. (2008) Laws of population growth. Proc Nat Acad Sci USA 105:18702-18707.
20. Feder J (1988) Fractals, Physics of Solids and Liquids. (Plenum Press, New York).
21. Peng CK, et al. (1994) Mosaic organization of DNA nucleotides. Phys Rev E 49:1685-1689.
22. Eisler Z, Bartos I, Kertész J (2008) Fluctuation scaling in complex systems: Taylor's law and beyond. Adv Phys 57:89-142.
23. Mantegna RN, Stanley HE (1999) An Introduction to Econophysics: Correlations and Complexity in Finance. (Cambridge Univ Press, Cambridge, UK).
24. Leland WE, Taqqu MS, Willinger W, Wilson DV (1994) On the self-similar nature of ethernet traffic (extended version) IEEE/ACM Trans Networking 2:1-15.
25. Linkenkaer-Hansen K, Nikouline VV, Palva JM, Ilmoniemi RJ (2001) Long-range temporal correlations and scaling behavior in human brain oscillations. J Neurosci 21:1370-1377.
26. Ivanov PC, Hu K, Hilton MF, Shea SA, Stanley HE (2007) Endogenous circadian rhythm in human motor activity uncoupled from circadian influences on cardiac dynamics. Proc Nat Acad Sci USA 104:20702-20707.
27. Simon HA (1955) On a class of skew distribution functions. Biometrika 42:425-440.
28. Mandelbrot B (1953) An Informational Theory of the Statistical Structure of Language, ed Jackson W (Butterworth, London), pp 486-504.
29. Barabási AL, Albert R (1999) Emergence of scaling in random networks. Science 286:509-512.
30. Albert R, Barabási AL (2002) Statistical mechanics of complex networks. Rev Mod Phys 74:47-97.
31. Bianconi G, Barabási, AL (2001) Competition and multiscaling in evolving networks. Europhys Lett 54:436-442.
32. Shlesinger MF, West BJ, Klafter J (1987) Lévy dynamics of enhanced diffusion: Application to turbulence. Phys Rev Lett 58:1100-1103.
33. Buldyrev SV, et al. (1993) Generalized Lévy-walk model for DNA nucleotide sequences. Phys Rev E 47:4514-4523.
34. Gerstein GL, Mandelbrot B (1964) Random walk models for spike activity of single neuron. Biophys J 4:41-68.
35. Bunde A, Eichner JF, Kantelhardt JW, Havlin S (2005) Long-term memory: A natural mechanism for the clustering of extreme events and anomalous residual times in climate records. Phys Rev Lett 94:048701.
36. Hedström P (2005) Dissecting the Social: On the Principles of Analytical Sociology. (Cambridge Univ Press, Cambridge, UK).
37. Kentsis A (2006) Mechanisms and models of human dynamics. Nature 441:E5-E6.