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Multifractal analysis of Gatzouras--Lalley measures

Jordan, Thomas et al.
arXiv (All) · Papers
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dynamical-systems
We study the multifractal analysis of self-affine measures supported on planar carpets of type Gatzouras--Lalley. We work primarily with Olsen's Hausdorff-dimensional variant of the $L^q$ spectrum, which we denote by $\vartheta(q)$. We prove a variational formula for $\vartheta$, from which it follo
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