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The same power-law behavior for P(ℓ) can be obtained by a general theorem on fractals, which relates the size distribution of inactive islands to fractal dimensions [23]. A scaling argument for the spacelike fractal dimension of DP can be found in Ref. [24].
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s(t) decay with the same critical exponent θ= δ due to a special symmetry of DP [9].
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For completeness, we mention that the case p=0 is another special point of the phase diagram, since here the dynamical rule does not allow for particle evaporation in the middle of the depinned portion of the interface. Numerical analysis and the comparison with an analogous unrestricted model [1] strongly suggests that it belongs to the DP universality class.
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