Optimizing the success of random searches

Nature

Volumn 401, Issue 6756, 1999, Pages 911-914

  Viswanathan, G M ^a,b,c   Buldyrev, Sergey V ^a   Havlin, Shlomo ^a,d   Da Luz, M G E ^e,f   Raposo, E P ^e,g   Stanley, H Eugene ^a  

^a Boston University   (United States)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^c FEDERAL UNIVERSITY OF ALAGOAS   (Brazil)

^d BAR ILAN UNIVERSITY   (Israel)

^e HARVARD UNIVERSITY   (United States)

^f FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

^g FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; PRIORITY JOURNAL; RANDOMIZATION; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ANIMALS; BEES; BEHAVIOR, ANIMAL; BIRDS; DEER; FEEDING BEHAVIOR; FLIGHT, ANIMAL; MODELS, BIOLOGICAL; MODELS, STATISTICAL; RANDOM ALLOCATION;

EID: 0033613429     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/44831     Document Type: Article

References (20)

1. Tsallis, C. Lévy distributions. Phys. World 10, 42-45 (1997).
2. Schlesinger, M. F., Zaslavsky, G. M. & Frisch, U. (eds) Lévy Flights and Related Topics in Physics (Springer, Berlin, 1995).
3. Levandowsky, M., Klafter, J. & White, B. S. Swimming behavior and chemosensory responses in the protistan microzooplanklon as a function of the hydrodynamic regime. Bull. Mar. Sci. 43, 758-763 (1988).
4. Schuster, F. L. & Levandowsky, M. Chemosensory responses of Acanthamoeba castellani: Visual analysis of random movement and responses to chemical signals. J. Eukaryotic Microbiol. 43, 150-158 (1996).
5. Cole, B. J. Fractal time in animal behaviour: The movement activity of Drosophila. Anim. Behav. 50, 1317-1324 (1995).
6. Viswanathan, G. M. et al. Lévy flight search patterns of wandering albatrosses. Nature 381, 413-415 (1996).
7. Shlesinger, M. F. & Klafter, J. in On Growth and Form (eds Stanley, H. E. & Ostrowsky, N.) 279-283 (Nijhoff, Dordrecht, 1986).
8. Berkolaiko, G., Havlin, S., Larralde, H. & Weiss, G. H. Expected number of distinct sites visited by N discrete Lévy flights on a one-dimensional lattice. Phys. Rev. E 53, 5774-5778 (1996).
9. Berkolaiko, G. & Havlin, S. Territory covered by N Lévy flights on d-dimensional lattices. Phys. Rev. E 55, 1395-1400 (1997).
10. Larralde, H., Trunfio, P., Havlin, S., Stanley, H. E. & Weiss, G. H. Territory covered by N diffusing particles. Nature 355, 423-426 (1992).
11. Larralde, H., Trunfio, P., Havlin, S., Stanley, H. E. & Weiss, G. H. Number of distinct sites visited by N random walkers. Phys. Rev. A 4, 7128-7138 (1992).
12. Szu, H. in Dynamic Patterns in Complex Systems (eds Kelso, J. A. S., Mandell, A. J. & Shlesinger, M. F.) 121-136 (World Scientific, Singapore, 1988).
13. Mantegna, R. N. & Stanley, H. E. Stochastic process with ultra-slow convergence to a gaussian: The truncated Lévy flight. Phys. Rev. Lett. 73, 2946-2949 (1994).
14. Shlesinger, M. F. & Klafter, J. Comment on "Accelerated diffusion in Josephson junctions and related chaotic systems". Phys. Rev. Lett. 54, 2551 (1985).
15. Heinrich, B. Resource heterogeneity and patterns of movement in foraging bumble-bees. Oecologia 40, 235-245 (1979).
16. Focardi, S., Marcellini, P. & Montanaro, P. Do ungulates exhibit a food density threshold - a field-study of optimal foraging and movement patterns. J. Anim. Ecol. 65, 606-620 (1996).
17. Berg, H. C. Random Walks in Biology (Princeton Univ. Press, Princeton, 1983).
18. Kot, M., Lewis, M. & van der Driessche, P. Dispersal data and the spread of invading organisms. Ecology 77, 2027-2042 (1996).
19. Schulman, L. S. Time's Arrows and Quantum Measurement (Cambridge Univ. Press, Cambridge, 1997).
20. Sugihara, G. & May, R. Applications of fractals in ecology. Trends Ecol. Evol. 5, 79-86 (1990).