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.