Aleksi Pyorala

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20202025

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math.DS2025

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

Aleksi Pyörälä

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

math.DS2024

The dimension of projections of planar diagonal self-affine measures

Aleksi Pyörälä

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…

math.DS2023

Scaling limits of self-conformal measures

Balázs Bárány, Antti Käenmäki, Aleksi Pyörälä +1

We show that any self-conformal measure $μ$ on $R$ is uniformly scaling and generates an ergodic fractal distribution. This generalizes existing results by removing the ne…

On dissonance of self-conformal measures in Rd

The dimension of projections of planar diagonal self-affine measures

Scaling limits of self-conformal measures

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