The dimension of projections of planar diagonal self-affine measures

Authors

  • Aleksi Pyörälä University of Jyväskylä, Department of Mathematics and Statistics

Keywords:

Hausdorff dimension, orthogonal projections, self-affine measures

Abstract

We show that if μ 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,
dimHμπ1=min{1,dimHμ}
for any non-principal orthogonal projection π.
Section
Articles

Published

2025-02-07

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