Figure 1 | Scientific Reports

Figure 1

From: Volume explored by a branching random walk on general graphs

Figure 1

Tracing the path. (a) The active walkers, Hänsel and Gretel, leave a trace of breadcrumbs along their way to mark the path they have taken. Birds slowly remove the breadcrumbs, as if they were subject to decay (regularisation, see main text). (b) Time evolution of branching random walkers (red) and the cloud of visited sites on a 3d regular lattice at times \({t}_{1} \sim {10}^{2}\), \({t}_{2} \sim {10}^{3}\), and \({t}_{3} \sim {10}^{4}\). Scale bars are equal for all time points.

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