A Marstrand Theorem for Subsets of Integers
A Marstrand Theorem for Subsets of Integers
We propose a counting dimension for subsets of $\mathbb{Z}$ and prove that, under certain conditions on E,F ⊂ $\mathbb{Z}$ , for Lebesgue almost every λ ∈ $\mathbb{R}$ the counting dimension of E + ⌊λ F ⌋ is at least the minimum between 1 and the sum of the counting dimensions …