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math.OA2006★ 11 cited
Bergelson's Theorem for weakly mixing C*-dynamical systems
Rocco Duvenhage
We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khintchine's recurrence theorem obtained…
math.OA2006
The Szemeredi property for compact C*-dynamical systems
Conrad Beyers, Rocco Duvenhage, Anton Stroh
Furstenberg's multiple recurrence result for measure theoretic dynamical systems is proved for compact C*-dynamical systems for which the evolution is given by a semigroup with the…