Cantor set
the fractal dimension is formula_119 which is again less than that of its deterministic counterpart formula_120. In the case of stochastic dyadic Cantor set the solution for formula_121 exhibits dynamic scaling as its solution in the long-time limit is formula_122 where the fractal dimension of the stochastic dyadic Cantor set formula_123. In either case, like triadic Cantor set, the formula_69th moment (formula_125) of stochastic triadic and dyadic Cantor set too are conserved quantities.