Hausdorff and harmonic measures on non-homogeneous Cantor sets
Athanasios Batakis, Anna Zdunik · Annales Academiae Scientiarum Fennicae Mathematica · 2015
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.