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.
Citation
De-Jun Feng. Ka-Sing Lau. Xiang-Yang Wang. "Some Exceptional Phenomena in Multifractal Formalism: Part II." Asian J. Math. 9 (4) 473 - 488, December 2005.
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