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On weak mixing, minimality and weak disjointness of all iterates

On weak mixing, minimality and weak disjointness of all iterates

The article addresses some open questions about the relations between the topological weak mixing property and the transitivity of the map $f\times f^2 \times...\times f^m$, where $f\colon X\ra X$ is a topological dynamical system on a compact metric space. The theorem stating that a weakly mixing and strongly transitive system …