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Articles

Modulation effect with global ambiguity in 2-dimensional random walk

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Pages 159-165 | Received 27 Nov 2014, Accepted 15 Jan 2015, Published online: 05 Mar 2015

References

  • F. Bartumeus , M.G.E. da luz , G.M. Viswanathan , and J. Catalan , Animal search strategies: A quantitative random-walk analysis, Ecology 86 (2005), pp. 3078–3087. doi: 10.1890/04-1806.
  • M. De Jager , F.J. Weissing , P.M.J. Herman , B.A. Nolet , and J. Van de Koppel , Lévy walks evolve through interaction between movement and environmental complexity, Science 332 (2011), pp. 1551–1553. doi: 10.1126/science.1201187.
  • C. Detrain , and J.L. Deneubourg , Self-organized structures in a superorganism: Do ants behave like molecules? Phys. Life Rev. 3 (2006), pp. 162–187. doi: 10.1016/j.plrev.2006.07.001.
  • N.J. Mlot , C.A. Tovey , and D.L. Hu , Fire ants self-assemble into waterproof rafts to survive floods, Proc. Natl Acad. Sci. 108 (2011), pp. 7669–7673. doi: 10.1073/pnas.1016658108.
  • A.M. Reynolds , Mussels realize Weierstrassian Lévy walks as composite correlated random walks, Sci. Rep. 4 (2014), pp. 1–5.
  • T. Sakiyama , and Y.P. Gunji , Emergence of an optimal search strategy from a simple random walk, J. R. Soc. Interface 10 (2013), p. 20130486. doi: 10.1098/rsif.2013.0486.
  • T. Sakiyama , and Y.P. Gunji , The relationship between randomness and power-law distributed move lengths in random walk algorithms, Physica A 402 (2014), pp. 76–83. doi: 10.1016/j.physa.2014.01.060.
  • G.M. Viswanathan , V. Afanasyev , S.V. Buldyrev , S. Havlin , M.G.E. da Luz , E.P. Raposo , and H.E. Stanley , Statistical physics of random searches, Braz. J. Phys. 31 (2001), pp. 102–108. doi: 10.1590/S0103-97332001000100018.
  • G.M. Viswanathan , E.P. Raposo , F. Bartumeus , J. Catalan , and M.G.E. da Luz , Necessary criterion for distinguishing true superdiffusion from correlated random walk processes, Phys. Rev. E 72 (2005), pp. 1–6.
  • G.M. Viswanathan , E.P. Raposo , and M.G.E. da Luz , Lévy flights and superdiffusion in the context of biological encounters and random searches, Phys. Life Rev. 5 (2008), pp. 133–150. doi: 10.1016/j.plrev.2008.03.002.

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