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math.PR2021
Uniform random covering problems
Henna Koivusalo, Lingmin Liao, Tomas Persson
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we investigate the uniform random covering problem. Precisely, consider an i.i.d.…
math.PR2015★ 2 cited
Hitting probabilities of random covering sets in tori and metric spaces
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo +3
We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric sp…
math.PR2012★ 1 cited
Hausdorff dimension of affine random covering sets in torus
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo +2
We calculate the almost sure Hausdorff dimension of the random covering set in -dimensional torus , where the sets $g_n\subset\mat…