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 ${\mathrm{limsup}}_{n\to \infty }(g_n+{\xi }_n)$ in $d$-dimensional torus ${\mathbb{T}}^d$, where the sets $g_n\subset\mat…