Research Letter

Kleinberg Navigation on Anisotropic Lattices

Figure 3

Curves relative to the isotropic divide 𝑏 = 1 , for (a) lattice and (b) angular cases. To provide a measure of smoothing, cubic polynomials 𝑝 𝑏 were fitted to the curves in Figure 1. To clarify the impact of anisotropy, we show the behavior relative to the isotropic case by subtracting 𝑝 1 from each 𝑝 𝑏 . This maps the isotropic curve to a horizontal line and introduces only minor distortion. The crossover behavior for 𝑏 > 1 is clearly displayed.
346543.fig.003a
(a) Lattice
346543.fig.003b
(b) Angle