3 papers
math.PR2026
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…
math.PR2025
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…
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…