Aleksi Pyorala

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math.DS2025

On dissonance of self-conformal measures in $R^{d}$

Aleksi PyÃ¶rÃ¤lÃ¤

Let $I^¼$ be a self-conformal measure on $R^{d}$ . In this note we establish conditions for $I^¼$ under which $dim (I^¼ * I^½) = min {d, dim I^¼ + dim I^½}$ holds when $I^½$ …

math.DS2025

The dimension of projections of planar diagonal self-affine measures

Aleksi PyÃ¶rÃ¤lÃ¤

We show that if $I^¼$ 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 dissonance of self-conformal measures in Rd

The dimension of projections of planar diagonal self-affine measures

On dissonance of self-conformal measures in $R^{d}$