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Generalized Energy Inequalities and Higher Multifractal Moments

Generalized Energy Inequalities and Higher Multifractal Moments

We present a class of generalized energy inequalities which may be used to investigate higher multifractal moments, in particular $$L^q$$ -dimensions of images of measures under Brownian-type processes, $$L^q$$ -dimensions of almost self-affine measures, and moments of random cascade measures.