Self-affine multifractal Sierpinski sponges in ℝ<sup>d</sup>
Self-affine multifractal Sierpinski sponges in ℝ<sup>d</sup>
We study self-affine multifractals in R d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196].We prove that new multifractal phenomena, not exhibited by self-similar multifractals in R d , appear in the self-affine case.2) the multifractal spectrum function f µ equals the Legendre …