5 papers
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…
Dvoretzky covering problem for general measures
Roope Anttila, Markus Myllyoja
We study the Dvoretzky covering problem for random covering sets driven by general Borel probability measures. As our main result, we solve the problem of covering analytic sets by…
Hitting Probabilities and the Ekstr{ö}m-Persson conjecture
Esa Järvenpää, Markus Myllyoja, Stéphane Seuret
We consider the Ekst\''om-Persson conjecture concerning the value of the Hausdorff dimension of random covering sets formed by balls with radii and centres…
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…
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…