| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Domaine : |
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Mathématiques/Probabilités
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| Titre : |
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Local complex dimensions of a fractal string |
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| Auteur(s) : |
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Jacques Lévy-Vehel ( ) 1, 2, Franklin Mendivil 3 |
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| Projet(s) / laboratoire(s) : |
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| Résumé : |
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We investigate in this work a local version of the theory of fractal strings and associated geometric zeta functions. Such a generalization allows to describe the asymptotic behaviour of a "fractal" set in the neighborhood of any of its points. We give basic properties and several examples illustrating the possible range of situations concerning in particular the evolution of the local complex dimensions along the set and the relation between local and global zeta functions. |
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| Langue du document : |
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Anglais |
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| Titre de la revue : |
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International Journal of mathematical modelling and numerical optimisation |
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| Date de publication : |
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01/10/2012 |
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| Audience : |
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internationale |
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| Editeur commercial : |
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inderscience |
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| Titre volume : |
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Special Issue on: "Fractals, Fractal-based Methods and Applications" |
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| Volume : |
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3 |
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| Numéro : |
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4 |
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