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We consider the notions of the replicators, including the duplicator andtriplicator, of a binary operad. As in the closely related notions ofdi-Var-algebra and tri-Var-algebra in [14], they provide a general operadicdefinition for the recent constructions of replicating the operations ofalgebraic structures. We show that taking replicators is in Koszul dual totaking successors in [3] for binary quadratic operads and is equivalent totaking the white product with certain operads such as Perm. We also relate thereplicators to the actions of average operators.

Replicating of binary operads, Koszul duality, Manin products and average operators