22 citations · 195 across the 32 of their papers we have counts for
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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…
math-ph2006
Evolution integrals
Rocco Duvenhage
A framework analogous to path integrals in quantum physics is set up for abstract dynamical systems in a W*-algebraic setting. We consider spaces of evolutions, defined in a specif…