Multifractal formalism for almost all self-affine measures

Julien Barral, De-Jun Feng

Published 2011-10-30, updated 2012-10-17Version 2

We conduct the multifractal analysis of self-affine measures for "almost all" family of affine maps. Besides partially extending Falconer's formula of $L^q$-spectrum outside the range $1< q\leq 2$, the multifractal formalism is also partially verified.