Scaling phenomena in the slope system

Fractals

Volumn 14, Issue 4, 2006, Pages 295-302

  Shin, Jae Kyun ^a   Choi, Seung Ryul ^a  

^a Yeungnam University   (South Korea)

Author keywords

Agent based model; Black hole; Group size distribution; Power law; Slope system

Indexed keywords

CELLS; FRICTION; MATHEMATICAL MODELS;

AGENT-BASED MODEL; GROUP-SIZE DISTRIBUTION; SLOPE SYSTEM;

FRACTALS;

EID: 33846243375     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X06003295     Document Type: Article

References (20)

1. M. E. J. Newman, Power laws, Pareto distributions and Zipf's law, Contemp. Phys. 46(5) (2005) 323-351.
2. H. S. Niwa, Power-law versus exponential distributions of animal group sizes, J. Theor. Biol. 224 (2003) 451-457.
3. G. K. Zipf, Human Behavior and the Principles of Least Effort (Addison-Wesley, Cambridge, 1949).
4. T. Sehelling, Models of segregation, Am. Econ. Rev. Papers Proc. 59(2) (1968) 488-493.
5. M. Klau, W. Li, J. Siow, I. Wokorna and J. Wells, White flight, NECSI, one-week complexity course with Dr. Yaneer Bar-Yam (2003).
6. M. Fossett, Ethnic preferences, social distance dynamics, and residential segregation: results from simulation analysis, Annual Meetings of the American Sociological Association, Chicago, Illinois (1999).
7. S. E. Page, On the emergence of cities, SFI Working Paper 98-08-075 (1998)."
8. T. D. Jackson, The imprint of preferences arid racial attitudes in the 1990s, www.civilrightsproject.harvard.edu/researeh/metro/Tara.pdf (2004).
9. J. K. Shin and S. R. Choi, Cellular automaton approach for the group size distribution of agents on a Newton-like potential-field, in Proc. 7th Asia-Pac. Conf. Complex Syst., Cairns Australia, eds. R. Stonier et al. (CQU Press, Australia, 2004) pp. 56-67.
10. E. Bonabeau, L. Dagorn. and P. Freon, Scaling in animal group-size distributions, Proc. Natl. Acad. Sci. USA 96 (1999) 4472-4477.
11. A. L. Barabasi and R. Albert, Emergence of scaling in random networks, Science 286 (1999) 509-512.
12. S. C. Manrubia, D. H. Zanette and R. V. Sole, Transient dynamics and scaling phenomena in urban growth, Fractals 9(2) (2001) 1-8.
13. S. M. Burroughs and S. F. Tebbens, Upper-truncated power-law distributions, Fractals 9(2) (2001) 209-222.
14. J. Neter, et al., Applied Linear Statistical Models, 3rd edn. (Irwin, Homewood, IL, USA, 1990).
15. http://www.citypopulation.de
16. S. Wolfram, Universality and complexity in the cellular automata, Physica D 10 (1984) 1-35.
17. S. Levy, Artificial Life (Random House, New York, USA, 1993).
18. C. G. Langton, Computation at the edge of chaos: phase transitions and emergent computation, Physica D 42 (1990) 12-37.
19. P. Michel, W. Benz, P. Tanga and D. C. Richardson, Collisions arid gravitational reaccumulation: forming asteroid families and satellites, Science 294 (2001) 1696-1699.
20. D. Pumain, Scaling laws arid urban systems, SFI Working Paper 04-02-002 (2004).