Gibbs measures on self-affine Sierpinski carpets and their singularity spectrum
نویسندگان
چکیده
We consider a class of Gibbs measures on self-affine Sierpinski carpets and perform the multifractal analysis of its elements. These deterministic measures are Gibbs measures associated with bundle random dynamical systems defined on probability spaces whose geometrical structure plays a central rôle. A special subclass of these measures is the class of multinomial measures on Sierpinski carpets. Our result improves the already known result concerning the multifractal nature of the elements of this subclass by considerably weakening and even eliminating in some cases a strong separation condition of geometrical nature.
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