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arXiv · 2510.06900

Quasisymmetric mappings on two variants of fractal percolation

Roope Anttila·Sylvester Eriksson-Bique·Aleksi Pyörälä
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Abstract

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-extinction, the Hausdorff dimension of the fat fractal percolation cannot be lowered with a quasisymmetry and the Hausdorff dimension of the dense fractal percolation cannot be lowered with a power quasisymmetry.

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Roope Anttila, Sylvester Eriksson-Bique, Aleksi Pyörälä. 2025-10-08. Quasisymmetric mappings on two variants of fractal percolation. https://arxiv.org/abs/2510.06900

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