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arXiv · 0809.0196

Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin

Abstract

The paper {\it On the multifractal nature of fully developed turbulence and chaotic systems}, by R. Benzi {\it et al.} published in this journal in 1984 (vol {\bf 17}, page 3521) has been a starting point of many investigations on the different faces of selfsimilarity and intermittency in turbulent phenomena. Since then, the multifractal model has become a useful tool for the study of small scale turbulence, in particular for detailed predictions of different Eulerian and Lagrangian statistical properties. In the occasion of the 50-th birthday of our unforgettable friend and colleague Giovanni Paladin (1958-1996), we review here the basic concepts and some applications of the multifractal model for turbulence.

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G. Boffetta, A. Mazzino, A. Vulpiani. 2008-09-01. Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin. https://doi.org/10.1088/1751-8113/41/36/363001

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