Springer Proceedings in Mathematics &Amp; Statistics
 2014
DOI: 10.1007/978-3-662-43920-3_4
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Generalized Energy Inequalities and Higher Multifractal Moments

K. J. Falconer
1

Abstract: We present a class of generalized energy inequalities and indicate their use in investigating higher multifractal moments, in particular L q -dimensions of images of measures under Brownian processes, L q -dimensions of almost self-affine measures, and moments of random cascade measures.

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