Improvements in the statistical approach to random Lévy flight searches

M. G.E. Da Luz, Sergey V. Buldyrev, Shlomo Havlin, E. P. Raposo, H. Eugene Stanley, G. M. Viswanathan

Research output: Contribution to journalConference articlepeer-review

45 Scopus citations


Recently it has been shown that the most efficient strategy for searching randomly located objects, when the sites are randomly distributed and can be revisited any number of times, leads to a power law distribution P(ℓ) = ℓ of the flights ℓ, with μ = 2. We show analytically that the incorporation of energy considerations limits the possible range for the Lévy exponent μ, however, μ = 2 still emerges as the optimal foraging condition. Furthermore, we show that the probability distribution of flight lengths for the short and intermediate flight length regimes depends on the details of the system.

Original languageEnglish
Pages (from-to)89-92
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
StatePublished - 1 Jun 2001
EventProceedings of the IUPAP International Conference on New Trends in the Fractal Aspects of Complex Systems - Maceio, Brazil
Duration: 16 Oct 200020 Oct 2000

Bibliographical note

Funding Information:
This work was supported by the Brazilian agencies CNPq, FAPEAL, FNS, NIH, FACEPE and PRPPG (UFPR).


  • Energy constraint
  • Foraging
  • Lévy distribution
  • Short flight regime


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