Multifractal Formalism for Self-Affine Measures with Overlaps
Archiv der Mathematik
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues have the same modulus, the L q-spectrum τ(q) is differentiable for all q > 0. Furthermore, we prove that the multifractal formalism holds in the region corresponding to q > 0.
Deng, Qi-Rong, Sze-Man Ngai.
"Multifractal Formalism for Self-Affine Measures with Overlaps."
Archiv der Mathematik, 92 (6): 514-625.