Multifractal Analysis of Complex Random Cascades

Abstract : We achieve the multifractal analysis of a class of complex valued statistically self-similar continuous functions. For we use multifractal formalisms associated with pointwise oscillation exponents of all orders. Our study exhibits new phenomena in multifractal analysis of continuous functions. In particular, we find examples of statistically self-similar such functions obeying the multifractal formalism and for which the support of the singularity spectrum is the whole interval [0, ∞].
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Communications in Mathematical Physics, Springer Verlag, 2010, 297 (1), pp.129-168. 〈10.1007/s00220-010-1030-y〉
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Soumis le : jeudi 21 février 2013 - 13:36:55
Dernière modification le : vendredi 25 mai 2018 - 12:02:05

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Julien Barral, Xiong Jin. Multifractal Analysis of Complex Random Cascades. Communications in Mathematical Physics, Springer Verlag, 2010, 297 (1), pp.129-168. 〈10.1007/s00220-010-1030-y〉. 〈hal-00790872〉

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