Some Exceptional Phenomena in Multifractal Formalism: Part II
De-Jun Feng, Ka-Sing Lau, and Xiang-Yang Wang
Source: Asian J. Math. Volume 9, Number 4
(2005), 473-488.
Abstract
In Part I we showed that the $L^q$-spectrum of the 3-fold convolution of the Cantor measure has a non-differentiable point at a $q_0 < 0$ [LW], therefore the standard multifractal formalism does not hold. In this Part II, we prove a modified multifractal formalism for the measure.
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Permanent link to this document: http://projecteuclid.org/euclid.ajm/1146673649
Asian Journal of Mathematics
