Mathematical Sciences: Faculty Publications
Multifractal Formalism for Self-Affine Measures with Overlaps
Document Type
Article
Publication Date
6-2009
Publication Title
Archiv der Mathematik
DOI
10.1007/s00013-009-2969-9
ISSN
1420-8938
Abstract
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.
Recommended Citation
Deng, Qi-Rong, Sze-Man Ngai.
2009.
"Multifractal Formalism for Self-Affine Measures with Overlaps."
Archiv der Mathematik, 92 (6): 514-625.
doi: 10.1007/s00013-009-2969-9
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/122
Copyright
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