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math.CA2026
Visible parts and projections of the affine fractal percolation
Eeva Kuure, Markus Myllyoja, Aleksi Pyörälä
We study the visible parts and orthogonal projections of the affine fractal percolation. We show that for the affine fractal percolation , conditioned on , a…
math.CA2024
Ekström-Persson conjecture regarding random covering sets
Esa Järvenpää, Maarit Järvenpää, Markus Myllyoja +1
We consider the Hausdorff dimension of random covering sets generated by balls and general measures in Euclidean spaces. We prove, for a certain parameter range, a conjecture by Ek…
math.CA2021
Hausdorff dimension of limsup sets of isotropic rectangles in Heisenberg groups
Markus Myllyoja
A formula for the Hausdorff dimension of typical limsup sets generated by randomly distributed isotropic rectangles in Heisenberg groups is derived in terms of directed singular va…