Aleksi Pyorala

collaborators

4 papers

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.MG2025

Quasisymmetric mappings on two variants of fractal percolation

Roope Anttila, Sylvester Eriksson-Bique, Aleksi Pyörälä

We study quasisymmetric maps on two variants of the classical fractal percolation model: the fat and dense fractal percolations. We show that, almost surely conditioned on non-exti…

math.CA2025

Furstenberg set theorem for transversal families of functions

Tuomas Orponen, Aleksi Pyörälä, Guangzeng Yi

We prove an extension of the Furstenberg set theorem to families of graphs satisfying a transversality condition. We apply the result to derive bounds on $L^{p}$ -norms of Fourier t…

math.CA2020

Covering the Sierpiński carpet with tubes

Aleksi Pyörälä, Pablo Shmerkin, Ville Suomala +1

We show that non-trivial $\times N$ -invariant sets in $[0, 1]^{d}$ , such as the Sierpiński carpet and the Sierpiński sponge, are tube-null, that is, they can be covered by a union of…

On dissonance of self-conformal measures in Rd

Quasisymmetric mappings on two variants of fractal percolation

Furstenberg set theorem for transversal families of functions

Covering the Sierpiński carpet with tubes

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