4.3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Rhodes UniversityZA66 papers
- Leiden UniversityNL63 papers
- University of GroningenNL63 papers
- University of the WitwatersrandZA63 papers
- South African Radio Astronomy ObservatoryZA58 papers
- Istituto di Radioastronomia di BolognaIT54 papers
- Netherlands Institute for Radio AstronomyNL54 papers
- Centre National de la Recherche ScientifiqueFR50 papers
- National Radio Astronomy ObservatoryUS46 papers
- Max Planck Institute for Radio AstronomyDE45 papers
- University of ArizonaUS44 papers
- University of ChicagoUS44 papers
13 papers · 1 filter
Wasserstein distance between noncommutative dynamical systems
Rocco Duvenhage
We study a class of quadratic Wasserstein distances on spaces consisting of generalized dynamical systems on a von Neumann algebra. We emphasize how symmetry of such a Wasserstein…
-fermi systems and detailed balance
Vitonofrio Crismale, Rocco Duvenhage, Francesco Fidaleo
A systematic theory of product and diagonal states is developed for tensor products of -graded -algebras, as well as -graded -algebras. As a preli…
Relative discrete spectrum of W*-dynamical systems
Rocco Duvenhage, Malcolm King
A definition of relative discrete spectrum of noncommutative W*-dynamical systems is given in terms of the basic construction of von Neumann algebras, motivated from three perspect…
The structure of doubly non-commuting isometries
Marcel de Jeu, Paulo R. Pinto
Suppose that and that, for all and with and , are given such that for all .…
Relative weak mixing of W*-dynamical systems via joinings
Rocco Duvenhage, Malcolm King
A characterization of relative weak mixing in W*-dynamical systems in terms of a relatively independent joining is proven.
Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry
Rocco Duvenhage, Wernd van Staden, Jan Wuzyk
We study a first variation formula for the eigenvalues of the Laplacian evolving under the Ricci flow in a simple example of a noncommutative matrix geometry, namely a finite dimen…
Relative ergodic properties of C*-dynamical systems
Rocco Duvenhage, Farrukh Mukhamedov
We study various ergodic properties of C*-dynamical systems inspired by unique ergodicity. In particular we work in a framework allowing for ergodic properties defined relative to…
Relatively independent joinings and subsystems of W*-dynamical systems
Rocco Duvenhage
Relatively independent joinings of W*-dynamical systems are constructed. This is intimately related to subsystems of W*-dynamical systems, and therefore we also study general prope…
Free joinings of C*-dynamical systems
Rocco Duvenhage
Joinings of C*-dynamical systems are defined in terms of free products of C*-algebras, as an analogue of joinings of classical dynamical systems. We then consider disjointness in t…
Ergodicity and mixing of W*-dynamical systems in terms of joinings
Rocco Duvenhage
We study characterizations of ergodicity, weak mixing and strong mixing of W*-dynamical systems in terms of joinings and subsystems of such systems. Ergodic joinings and Ornstein's…
Joinings of W*-dynamical systems
Rocco Duvenhage
We study the notion of joinings of W*-dynamical systems, building on ideas from measure theoretic ergodic theory. In particular we prove sufficient and necessary conditions for erg…
A mean ergodic theorem for actions of amenable quantum groups
Rocco Duvenhage
We prove a weak form of the mean ergodic theorem for actions of amenable locally compact quantum groups in the von Neumann algebra setting.
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…