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Weak disjointness of measure-preserving dynamical systems. (English) Zbl 1083.37003
Summary: Two measure-preserving dynamical systems are weakly disjoint if some pointwise convergence property is satisfied by ergodic averages on their direct product. Disjointness implies weak disjointness. We start studying this new concept, both by stating some general properties and by giving various examples.

MSC:
37A05 Dynamical aspects of measure-preserving transformations
28D05 Measure-preserving transformations
37A25 Ergodicity, mixing, rates of mixing
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