Hausdorff and harmonic measures on non-homogeneous Cantor sets
classification
🧮 math.CA
math.DS
keywords
hausdorffsetscantordimensionharmonicmeasureconsiderdefined
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We consider (not self-similar) Cantor sets defined by a sequence of piecewise linear functions. We prove that the dimension of the harmonic measure on such a set is strictly smaller than its Hausdorff dimension. Some Hausdorff measure estimates for these sets are also provided.
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