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Article Dans Une Revue EPL - Europhysics Letters Année : 1994

Solving the inverse fractal problem from wavelet analysis

Alain Arneodo
Emmanuel Bacry
Jean-François Muzy

Résumé

We report on a wavelet-based technique for solving the inverse fractal problem. We show that one can uncover a dynamical system which leaves invariant a given fractal object from the space scale arrangement of its wavelet transform modulus maxima. Our purpose is illustrated on Bernoulli invariant measures of linear as well as non-linear "cookie-cutters". Application to period-doubling dynamical systems at the onset of chaos is reported.
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hal-01557135 , version 1 (03-08-2017)

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Alain Arneodo, Emmanuel Bacry, Jean-François Muzy. Solving the inverse fractal problem from wavelet analysis. EPL - Europhysics Letters, 1994, 25 (7), pp.479-484. ⟨10.1209/0295-5075/25/7/001⟩. ⟨hal-01557135⟩
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