### 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.

First Page:

#### Related Works:

Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.ajm/1146673649