Aleksi Pyorala

activity

20202025

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3 papers · 1 filter

math.DS2025

On dissonance and orthogonal projections of self-conformal measures

Aleksi Pyörälä

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

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…