Hierarchy, cities size distribution and Zipf's law

European Physical Journal B

Volumn 63, Issue 3, 2008, Pages 295-301

  Semboloni, F ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BASIN OF ATTRACTION; BOTTOM-UP; HIERARCHICAL STRUCTURING; NUMERICA L RESULTS; POWER LAWS; POWER-LAW DISTRIBUTION; SELF-ORGANIZED PROCESS; SPATIAL MODELLING; TRANSPORTATION COSTS; ZIPF'S LAW;

BIOMECHANICS; BIPED LOCOMOTION; POPULATION STATISTICS; POWER GENERATION; STOCHASTIC MODELS;

LAWS AND LEGISLATION;

EID: 49249129303     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2008-00203-1     Document Type: Article

References (34)

1. M. Mitzenmacher, in Proceedings of the 39th Annual Al lerton Conference on Communication, Control, and Computing (University of Illinois, Urbana-Champagne, 2001), pp. 182-191
2. G.B. West, J.H. Brown, B.J. Enquist, Science 276, 122 (1997)
3. J.R. Banavar, J. Damuth, A. Maritan, A. Rinaldo, PNAS 99, 10506 (2002)
4. V. Gafiychuk, I. Lubashevsky, A. Stosyk, Preprint (2000), nlin/0004033
5. V.V. Gafiychuk, I.A. Lubashevsky, Y.L. Klimontovich, Preprint (1999), adapt-org/9903004
6. M.J. Woldenberg, B.J.L. Berry, J. Regional Sci. 7, 129 (1967)
7. W. Christaller, Central Places in Southern Germany (Prentice Hall, Englewood Cliffs, N.J., 1966), translated by C.W. Baskin
8. M.J. Beckman, Economic Development and Cultural Change 6, 243 (1958)
9. M. Beckman, J.C. McPherson, J. Regional Sci. 10, 25 (1970)
10. M. Batty, in Hierarchy in natural and social sciences, edited by D. Pumain, Methodos Series, Vol. 3 (Springer, Berlin, 2006)
11. D. Pumain, in Hierarchy in natural and social sciences, edited by D. Pumain, Methodos Series, Vol. 3 (Springer, Berlin, 2006)
12. A. Bretagnolle, E. Daudé, D. Pumain, Cybergeo, Revue Européenne de Géographie 335, 1 (2006)
13. B.J.L. Berry, W.L. Garrison, Economic Geography 34, 304 (1958)
14. H. Ogawa, Urban Studies 35, 45 (1998)
15. J.B. Parr, Economic Geography 63, 223 (1987)
16. A. Lösch, The Economics of Location (Yale University Press, New Haven, 1954), translated by W.H. Woglom, W.F. Stolper
17. J. Henderson, Am. Econo. Rev. LXIV, 640 (1974)
18. P. Krugman, Geography and Trade (MIT Press, Cambridge, Massachusetts, 1991)
19. D. Pumain, F. Paulus, C. Vacchiani-Marcuzzo, J. Lobo, Cybergeo, Revue Européenne de Géographie 343 (2006)
20. M. Batty, Working Papers Series 64, CASA (2003)
21. M. Batty, Urban Modeling: Algorithms, Calibrations, Predictions (Cambridge University Press, Cambridge, 1976)
22. H.A. Simon, Proc. Am. Phil. Soc. 106, 467 (1962)
23. D. Pumain, Geografiska Annaler 82B, 73 (2000)
24. G. Duranton, Centre for Economic Performance-Discussion Papers 550, 1 (2002)
25. X. Gabaix, Quarterly J. Economics CXIV, 739 (1999)
26. D. Sornette, Phys. Rev. E 57, 4811 (1998)
27. A. Blank, S. Solomon, Published on line URL: http://xxx.tau.ac.il/html/ cond-mat/0003240 (2000)
28. M. Marsili, Y.C. Zhang, Phys. Rev. Lett. 80(12), 2741 (1998)
29. F. Semboloni, F. Leyvraz, Physica A 352, 612 (2005)
30. G. Zipf, Human Behavior and the Principle of Least Effort (Addison Wesley, Cambridge, MA., 1949)
31. P. Krugman, J. Jap. Int. Econ. 10, 399 (1996)
32. R. Axtell, R. Florida, Computing in Economics and Finance 2001 154, Society for Computational Economics (2001), available at http://ideas.repec.org/ p/sce/scecf1/154.html
33. C. Andersson, A. Hellervik, K. Lindgren, Physica A 345, 227 (2005)
34. A. Barabasi, R. Albert, Science 286, 509 (1999)