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Wavelet Analysis of Fractal Boundaries. Part 2: Multifractal Analysis

Abstract : This second part deals with the global analysis of the boundary of domains Omega ⊂ Rd . We develop methods for determining the dimensions of the sets where the local behaviors introduced in Part 1 occur. These methods are based on analogies with the thermodynamic formalism in statistical physics and lead to new classification tools for fractal domains.
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https://hal.archives-ouvertes.fr/hal-01071366
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Submitted on : Friday, October 3, 2014 - 7:16:57 PM
Last modification on : Saturday, January 15, 2022 - 4:07:48 AM

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Clothilde Melot, Stéphane Jaffard. Wavelet Analysis of Fractal Boundaries. Part 2: Multifractal Analysis. Communications in Mathematical Physics, Springer Verlag, 2005, 258, pp.541-565. ⟨10.1007/s00220-005-1353-2⟩. ⟨hal-01071366⟩

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