22 citations · 195 across the 32 of their papers we have counts for
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math.DS2005★ 3 cited
A van der Corput lemma and weak mixing over groups
Conrad Beyers, Rocco Duvenhage, Anton Stroh
We study weak mixing of all orders for weakly mixing measure preserving dynamical systems, where the dynamics is given by the action of an abelian second countable topological grou…
math.DS2005★ 6 cited
Noncommutative recurrence over locally compact Hausdorff groups
Richard de Beer, Rocco Duvenhage, Anton Stroh
We extend previous results on noncommutative recurrence in unital *-algebras over the integers, to the case where one works over locally compact Hausdorff groups. We derive a gener…
math.DS2002★ 4 cited
Recurrence and ergodicity in unital *-algebras
Rocco Duvenhage, Anton Stroh
Results concerning recurrence and ergodicity are proved in an abstract Hilbert space setting based on the proof of Khintchine's recurrence theorem for sets, and on the Hilbert spac…