Quasisymmetric mappings on two variants of fractal percolation

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Roope Anttila, Sylvester David Eriksson-Bique, Aleksi Pyörälä
DOI: 10.1090/proc/17839
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals advanced mathematical theories Topological and Geometric Data Analysis

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publication date
13 August 2026
Language
EN