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

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.

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Bibliographic Details
Main Authors: GONDRAN,M., KENOUFI,A., LEHNER,T.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2016
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512016000200247
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Summary: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.