Geodesic
The dimension of projections of planar diagonal self-affine measures
Aleksi Pyörälä1
1 University of Jyväskylä, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 50 (2025) no. 1, p. 59–78.

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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 $\pi$.
DOI : 10.54330/afm.156815
Keywords: Hausdorff dimension, orthogonal projections, self-affine measures

Aleksi Pyörälä 1

1 University of Jyväskylä, Department of Mathematics and Statistics 
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Aleksi Pyörälä. The dimension of projections of planar diagonal self-affine measures. Annales Fennici Mathematici, Tome 50 (2025) no. 1, p. 59–78. doi : 10.54330/afm.156815. http://geodesic.mathdoc.fr/articles/10.54330/afm.156815/

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