Mean number of visits to sites in Levy flights

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

Volumn 73, Issue 5, 2006, Pages

  Ferraro, M ^a   Zaninetti, L ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; NUMERICAL METHODS;

ABSORBING BOUNDARIES; LEVY FLIGHTS; STATIONARY VALUES; SYMMETRIC LEVY FLIGHTS;

STATISTICAL METHODS;

EID: 33646760318     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.057102     Document Type: Article

References (17)

1. B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Reading, MA, 1954).
2. J. P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 128 (1990).
3. J. E. Gilles and G. H. Weiss, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665260 11, 1307 (1970).
4. G. Berkolaiko and S. Havlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.1395 55, 1395 (1997).
5. M. Ferraro and L. Zaninetti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.056107 64, 056107 (2001).
6. W. Feller, An Introduction to Probability Theory and Its Applications (John Wiley and Sons, New York, 1966), Vols. 1 and 2.
7. A. V. Chechkin, V. Yu. Goncar, J. Klafter, R. Metzler, and L. V. Tanatarov, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000028067.63365.04 115, 1505 (2004).
8. G. M. Viswanathan, V. Afanasyev, S. V. Buldyrev, S. Havlin, M. G. E. da Luz, E. P. Raposo, and H. E. Stanley, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00071-6 282, 1 (2000).
9. G. Boccignone, and M. Ferraro, Physica A PHYADX 0378-4371 331, 207 (2004).
10. M. Ferraro and L. Zaninetti, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.01.062 338, 307 (2004).
11. B. D. Hughes, M. F. Schlesinger, and E. W. Montroll, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 6, 3287 (1981).
12. R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
13. E. V. Haynsworth and K. Golberg, in Handbook of Mathematical Functions, edited by, M. I. Abramowitz, and, I. Stegun, (Dover Publications, New York, 1965).
14. F. W. J. Olver, Asymptotic and Special Functions (Academic Press, New York, 1974).
15. S. V. Buldyrev, S. Havlin, A. Ya. Kazakov, M. G. E. da Luz, E. P. Raposo, H. E. Stanley, and G. M. Viswanathan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.041108 64, 041108 (2001).
16. G. H. Weiss, in Fractals in Science, edited by, A. Bundle, and, S. Havlin, (Springer-Verlag, New York, 1994).
17. M. Gitterman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.6065 62, 6065 (2000).