Abstract
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 ≤ 2, the multifractal formalism is also partially verified.
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Barral, J., Feng, DJ. Multifractal Formalism for Almost all Self-Affine Measures. Commun. Math. Phys. 318, 473–504 (2013). https://doi.org/10.1007/s00220-013-1676-3
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DOI: https://doi.org/10.1007/s00220-013-1676-3