58 citations · 198 across the 12 of their papers we have counts for
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cond-mat.dis-nn2009★ 23 cited
Lévy-like behavior in deterministic models of intelligent agents exploring heterogeneous environments
D. Boyer, O. Miramontes, H. Larralde
Many studies on animal and human movement patterns report the existence of scaling laws and power-law distributions. Whereas a number of random walk models have been proposed to ex…
cond-mat.dis-nn2008★ 7 cited
Intricate dynamics of a deterministic walk confined in a strip
Denis Boyer
We study the dynamics of a deterministic walk confined in a narrow two-dimensional space randomly filled with point-like targets. At each step, the walker visits the nearest target…
cond-mat.dis-nn2007★ 45 cited
The origin of power-law distributions in deterministic walks: the influence of landscape geometry
M. C. Santos, D. Boyer, O. Miramontes +4
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 recta…