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We address the general question of what is the best statistical strategy to adapt in order to search efficiently for randomly located objects (‘target sites’). It is often assumed in foraging theory… (More)

- Andrew M Edwards, Richard Phillips, +8 authors Gandhimohan M. Viswanathan
- Nature
- 2007

The study of animal foraging behaviour is of practical ecological importance, and exemplifies the wider scientific problem of optimizing search strategies. Lévy flights are random walks, the step… (More)

In this work we discuss some recent contributions to the random search problem. Our analysis includes superdiffusive Lévy processes and correlated random walks in several regimes of target site… (More)

- Ernesto P. Raposo, Sergey V. Buldyrev, Mariana da Luz, M. C. Santos, H. Eugene Stanley, Gandhimohan M. Viswanathan
- Physical review letters
- 2003

We study the role of dynamical constraints in the general problem of finding the best statistical strategy for random searching when the targets can be detected only in the limited vicinity of the… (More)

- Sergey V. Buldyrev, Shlomo Havlin, +4 authors Gandhimohan M. Viswanathan
- Physical review. E, Statistical, nonlinear, and…
- 2001

We consider a Lévy flyer of order alpha that starts from a point x(0) on an interval [O,L] with absorbing boundaries. We find a closed-form expression for the average number of flights the flyer… (More)

- Frederic Bartumeus, Josette Catalan, Gandhimohan M. Viswanathan, Ernesto P. Raposo, Mariana da Luz
- Journal of theoretical biology
- 2008

Animal searches cover a full range of possibilities from highly deterministic to apparently completely random behaviors. However, even those stochastic components of animal movement can be adaptive,… (More)

- M. C. Santos, Dory Boyer, +4 authors Mariana da Luz
- Physical review. E, Statistical, nonlinear, and…
- 2007

We investigate the properties of a deterministic walk, whose locomotion rule is always to travel to the nearest site. Initially the sites are randomly distributed in a closed rectangular (ALxL)… (More)

- Gandhimohan M. Viswanathan, Vsevolod Afanasyev, +4 authors H. Eugene Stanley
- 2001

We apply the theory of random walks to quantitatively describe the general problem of how to search eÆciently for randomly located objects that can only be detected in the limited vicinity of a… (More)

- Marina E. Wosniack, M. C. Santos, Ernesto P. Raposo, Gandhimohan M. Viswanathan, Mariana da Luz
- Physical review. E, Statistical, nonlinear, and…
- 2015

The random search problem is a challenging and interdisciplinary topic of research in statistical physics. Realistic searches usually take place in nonuniform heterogeneous distributions of targets,… (More)

- M. C. Santos, Gandhimohan M. Viswanathan, Ernesto P. Raposo, Mariana da Luz
- Physical review. E, Statistical, nonlinear, and…
- 2005

We investigate random searches on isotropic and topologically regular square and triangular lattices with periodic boundary conditions and study the efficiency of search strategies based on a… (More)