3 papers
math.MG2007
Multifractal Analysis of inhomogeneous Bernoulli products
Athanasios Batakis, Benoit Testud
We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the mu…
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…