10 citations · 17 across the 5 of their papers we have counts for
5 papers
Disjointness and unique ergodicity of C*-dynamical systems
Rocco Duvenhage, Anton Stroh
We study an ergodic theorem for disjoint C*-dynamical systems, where disjointness here is a noncommutative version of the concept introduced by Furstenberg for classical dynamical…
The Szemeredi property in ergodic W*-dynamical systems
Conrad Beyers, Rocco Duvenhage, Anton Stroh
We study weak mixing of all orders for asymptotically abelian weakly mixing state preserving C*-dynamical systems, where the dynamics is given by the action of an abelian second co…
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…
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…
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…