Analytical results for the statistical distribution related to a memoryless deterministic walk: Dimensionality effect and mean-field models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 2, 2005, Pages

  Terçariol, César Augusto Sangaletti ^a,b   Martinez, Alexandre Souto ^b  

^a CENTRO UNIVERSITÁRIO BARÃO DE MAUÁ   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBABILITY;

DETERMINISTIC RULE; GAMMA FUNCTION; RANDOM LINK MODELS;

STATISTICAL METHODS;

EID: 27244451003     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.021103     Document Type: Article

References (18)

1. D. S. Fisher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.960 30, 960 (1984).
2. G. T. Barkema, P. Biswas, and H. van Beijeren, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.170601 87, 170601 (2001).
3. G. F. Lima, A. S. Martinez, and O. Kinouchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.010603 87, 010603 (2001).
4. H. E. Stanley and S. V. Buldyrev, Nature (London) NATUAS 0028-0836 10.1038/35096668 413, 373 (2001).
5. O. Kinouchi, A. S. Martinez, G. F. Lima, G. M. Lourenço, and S. Risau-Gusman, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)00972-X 315, 665 (2002).
6. G. F. de Lima, Ph.D. thesis, Universidade de São Paulo, Ribeirão Preto, SP, Brazil, 2002 (in Portuguese).
7. D. Boyer, O. Miramontes, G. Ramos-Fernandez, J. L. Mateos, and G. Cocho, Physica A PHYADX 0378-4371 342, 329 (2004).
8. S. Risau-Gusman, A. S. Martinez, and O. Kinouchi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.016104 68, 016104 (2003).
9. A. S. Martinez, O. Kinouchi, and S. Risau-Gusman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.017101 69, (2) 017101 (2004).
10. B. Derrida and H. Flyvbjerg, J. Phys. (Paris) JOPQAG 0302-0738 48, 971 (1987).
11. M. Mézard and G. Parisi, Europhys. Lett. EULEEJ 0295-5075 2, 913 (1986).
12. A. G. Percus and O. C. Martin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004570713967 94, 739 (1999).
13. S. A. Kauffman, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(69) 90015-0 22, 437 (1969).
14. T. F. Cox, Biometrics BIOMB6 0006-341X 37, 367 (1981).
15. M. F. Dacey, Geogr. Anal. 0016-7363 10.1016/S1296-2074(00)01094-3 1, 385 (1969).
16. C. A. S. Terçariol, Ms.C. thesis, Universidade de São Paulo, Ribeirão Preto, SP, Brazil 2004 (in Portuguese).
17. S. C. Chapman, G. Rowlands, and N. W. Watkins, Nonlinear Processes Geophys. 1023-5809 9, 409 (2002).
18. M. Abramowitz, and, I. Stegun, eds., Handbook of Mathematical Functions (Dover Publications, New York, 1972).