Fig 8. The heat map of the staying time τ in the region with radius ρd vs. the displacement Δx that the user travels into the region.

Here ρ = 0.500 (a), ρ = 0.250 (b) and ρ = 0.125 (c). The color is proportional to the logarithm of the heat (count) on each data point. The magenta curves provide the log-binning result of the relationship τ vs. Δx, and the red dashed lines are the fitting power functions of the log-binning curves, where fitting slopes γ = 0.58 ± 0.01 for (a), γ = 0.69 ± 0.02 for (b) and γ = 0.82 ± 0.03 for (c).