Multi-fractal Analysis for Riemann Serie and Mandelbrot Binomial Measure with (min,+)-Wavelets.
DOI:
https://doi.org/10.5540/tema.2016.017.02.0247Palavras-chave:
(min, )-wavelets, fractal and multi-fractal analysis, Hölder exponent, scaling function, singularities spectrumResumo
One introduces first the so-called (min, +)-wavelets which are lower and upper hulls build from (min, +) analysis in order to perform multi-fractal analysis. In a second step it is applied to functions such as the Riemann serie and binomial Mandelbrot measure for numerical computations of their singularities spectrum, and comparisons with well-known theoretical and to WTMM method results.
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