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 spaces and in the $d$-dimensional torus. In metric spaces, we consider covering sets generated by balls and, in tori, we deal with general analytic generating sets.
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机译：我们为典型随机覆盖集与固定解析集在Ahlfors正则度量空间和$ d $维环面中的交集的Hausdorff维数提供了清晰的上下边界。在度量空间中，我们考虑覆盖球生成的集合，而在tori中，我们处理一般的解析生成集。
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