Multifractal phenomena and packing dimension
Copyright policy )Multifractal phenomena and packing dimension
We undertake a general study of multifractal phenomena for functions or measures. We show that the existence of several kinds of multifractal functions or measures can be easily deduced from an abstract statement, leading to new results. This general approach does not work for Fourier or Dirichlet series. Using careful constructions, we extend our results to these cases.
- Clermont Université France
- Laboratoire de Mathématiques France
- University of Auvergne France
- University of Clermont Auvergne France
- French National Centre for Scientific Research France
Hausdorff and packing dimension, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Hölder exponent, Fourier series, Fractals, Hausdorff and packing measures, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Dirichlet series, multifractal phenomena, genericity
Hausdorff and packing dimension, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Hölder exponent, Fourier series, Fractals, Hausdorff and packing measures, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Dirichlet series, multifractal phenomena, genericity
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