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Figure 1: (a) simple walk; (b) spider walk; (c) a spider web. At each point, there are twoequiprobable moves.
Figure 2: (a) the spider walk as a complex-valued martingale; (b) combinatorial distance.
Figure 3: (a) the usual case, L = 0: in the mean, D remains the same; (b) the case of L = 1:in the mean, D increase by 1/2

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