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Rebecca Sanders and Stanislav Shkarin. Existence of disjoint weakly mixing operators that fail to satisfy the Disjoint Hypercyclicity Criterion, J. Math. Anal. Appl. 417 (2014) no. 2, 834-855.
Kit Chan and Rebecca Sanders. Common hypercyclic vectors for the unitary orbit of a hypercyclic operator, J. Math. Anal. Appl. 387 (2012) no. 1, 17-23.