2 papers
math.AP2003
Dimension of the harmonic measure of non-homogeneous Cantor sets
Athanasios Batakis
We prove that the dimension of the harmonic measure of the complementary of a translation-invariant type of Cantor sets as a continuous function of the parameters determining these…
math.MG2003
On entropy and Hausdorff dimension of measures defined through a non-homogeneous Markov process
Athanasios Batakis
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a markov non-homogeneous property. We prove, in particular, that the Hausdorff dimensi…