WEAK LOCAL DIMENSION ON DERANGED CANTOR SETS
WEAK LOCAL DIMENSION ON DERANGED CANTOR SETS
We define weak local dimension at each point in a deranged Cantor set. Using this, we classify the deranged Cantor set into a multifractal structure which is useful for computing the Hausdorff dimension and the packing dimension of the deranged Cantor set. Finally, we give examples in which the weak …