Prefer a chat interface with context about you and your work?
Codimension formulae for the intersection of fractal subsets of Cantor spaces
We examine the dimensions of the intersection of a subset $E$ of an $m$-ary Cantor space $\mathcal {C}^m$ with the image of a subset $F$ under a random isometry with respect to a natural metric. We obtain almost sure upper bounds for the Hausdorff and upper box-counting dimensions of the …