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Article Dans Une Revue Communications in Mathematical Physics Année : 2005

Wavelet Analysis of Fractal Boundaries. Part 2: Multifractal Analysis

Résumé

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.

Dates et versions

hal-01071366 , version 1 (03-10-2014)

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