Pré-Publication, Document De Travail Année : 2013

On measures driven by Markov chains

Résumé

We study measures on $[0,1]$ which are driven by a finite Markov chain and which generalize the famous Bernoulli products. We propose a hands-on approach to determine the structure function $\tau$ and to prove that the multifractal formalism is satisfied. Formulas for the dimension of the measures and for the Hausdorff dimension of their supports are also provided.

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hal-00880320 , version 1 (06-11-2013)

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Yanick Heurteaux, Andrzej Stos. On measures driven by Markov chains. 2013. ⟨hal-00880320⟩
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