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Sur certaines martingales de Benoit Mandelbrot
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Étude de quelques propriétés des produits de Riesz
© Annales de l’institut Fourier, 1975, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditionsExpand
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Revisiting the multifractal analysis of measures.
New proofs of theorems on the multifractal formalism are given. They yield results even at points q for which Olsen’s functions b(q) and B(q) differ. Indeed, we provide an example of a measure forExpand
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Automatic Dirichlet Series
Abstract Dirichlet series whose coefficients are generated by finite automata define meromorphic functions on the whole complex plane. As consequences, a new proof of Cobham's theorem on theExpand
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Calculs de dimensions de Hausdorff
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Generic points in systems of specification and Banach valued Birkhoff ergodic average
We prove that systems satisfying the specification property are saturated in the sense that the topological entropy of the set of generic points of any invariant measure is equal to theExpand
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Comparaison de deux notions de dimension
A random planar set is defined à la Cantor by taking thé intersection of a countable family of unions of rectangles which are flatter and flatter as their diameter tends to zéro. A relation, whichExpand
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