Multifractal spectra of random self-affine multifractal Sierpinski sponges in $\mathbb{R}^d$ J. FraserLars Olsen 28A78multifractalsself-affine measuresSierpinski spongesHausdorff dimensionlocal dimension In this paper we study the Hausdorff multifractal spectrum of random self-affine multifractal Sierpinski sponges in $\mathbb{R}^d$. Indiana University Mathematics Journal 2011 text pdf 10.1512/iumj.2011.60.4343 10.1512/iumj.2011.60.4343 en Indiana Univ. Math. J. 60 (2011) 937 - 984 state-of-the-art mathematics http://iumj.org/access/