The dimension of projections of planar diagonal self-affine measures
Keywords:
Hausdorff dimension, orthogonal projections, self-affine measuresAbstract
We show that if \(\mu\) is a self-affine measure on the plane defined by an iterated function system of contractions with diagonal linear parts, then under an irrationality assumption on the entries of the linear parts,\(\operatorname{dim}_{\rm H} \mu \circ \pi^{-1} = \min \{ 1, \operatorname{dim}_{\rm H} \mu \}\)
for any non-principal orthogonal projection \(\pi\).
How to Cite
Pyörälä, A. (2025). The dimension of projections of planar diagonal self-affine measures. Annales Fennici Mathematici, 50(1), 59–78. https://doi.org/10.54330/afm.156815
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