22 citations · 195 across the 32 of their papers we have counts for
16 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…
Quadratic Wasserstein metrics for von Neumann algebras via transport plans
Rocco Duvenhage
We show how one can obtain a class of quadratic Wasserstein metrics, that is to say, Wasserstein metrics of order 2, on the set of faithful normal states of a von Neumann algebra $…
-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…
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…