A characterization of weak-mixing for minimal systems (Q2329336)

The author presents a characterization of weak-mixing for minimal topological dynamical systems. More precisely, the main result of the paper states that a minimal homeomorphism \(T\) on a non-trivial compact metric space \(X\) is weak-mixing if and only if there is a dense \(\sigma\)-Cantor set \(K\) of \(X\) such that for each \(d \in \mathbb{N}\) any element in \(K^d\) is a transitive point of the map \(T \times T^2 \times \cdots \times T^d\).