Local Multifractal Analysis

Arnaud Durand (LM-Orsay); Julien Barral (LAGA); St\'ephane Jaffard (LAMA); St\'ephane Seuret (LAMA)

arxiv: 1209.3905 · v1 · pith:7FG4BOI6new · submitted 2012-09-18 · 🧮 math.CA · math.DS· math.FA· math.PR

Local Multifractal Analysis

Julien Barral (LAGA) , Arnaud Durand (LM-Orsay) , St\'ephane Jaffard (LAMA) , St\'ephane Seuret (LAMA) This is my paper

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keywords multifractalformalismfunctionslocalmeasuresadaptedanalysischange

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We introduce a local multifractal formalism adapted to functions, measures or distributions which display multifractal characteristics that can change with time, or location. We develop this formalism in a general framework and we work out several examples of measures and functions where this setting is relevant.

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Local Multifractal Analysis

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