Almost sure convergence and second moments of geometric functionals of fractal percolation
Almost sure convergence and second moments of geometric functionals of fractal percolation
Abstract We determine almost sure limits of rescaled intrinsic volumes of the construction steps of fractal percolation in ${\mathbb R}^d$ for any dimension $d\geq 1$ . We observe a factorization of these limit variables which allows one, in particular, to determine their expectations and covariance structure. We also show the …