Multi-fractal Analysis for Riemann Serie and Mandelbrot Binomial Measure with (min,+)-Wavelets.

Michel Gondran, Abdelouahab Kenoufi, Thierry Lehner

Abstract


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. 


Keywords


(min, +)-wavelets, fractal and multi-fractal analysis, Hölder exponent, scaling function, singularities spectrum

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References


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DOI: https://doi.org/10.5540/tema.2016.017.02.0247

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