Department of Physics www.up.ac.za/physics Mathematical Physics Research Activities Research activities of this group can be outlined as follows : ♦ Quantum dynamical systems: Mathematical structure and ergodic theory in an operator algebraic framework. ♦ Quantum spaces: Measure theory, topology and geometry in the quantum realm via operator algebras. Group Leader Dr. Rocco Duvenhage Office: 5-48 Natural Sciences Building I Tel: 012 420 2790 E-mail: [email protected] Group Members Group Members in the Department of Mathematics and Applied Mathematics Collaboration ♦ International collaboration ♦ Department of Mathematics, University of Rome “Tor Vergata”, Rome, Italy. Recent Publications R. Duvenhage: “Ergodicity and mixing of W*-dynamical systems in terms of joinings” (2010) “Free joinings of C*-dynamical systems” (2010) “Bergelson's theorem for weakly mixing C*-dynamical sys- tems” (2009) “Joinings of W*-dynamical systems” (2008) ”A mean ergodic theorem for actions of amenable quantum groups” (2008) “Evolution integrals” (2008) C. Beyers, R. Duvenhage, A. Ströh: “The Szemerédi property in ergodic W*-dynamical systems” (2010) Mauritz van den Worm Funding ♦ NRF ♦ NITheP Prof. Anton Ströh Danie van Wyk Research Projects ♦ Joinings and subsystems of W*-dynamical systems. ♦ Free joinings of C*-dynamical systems. ♦ Mixing and recurrence properties of quantum dynamical systems. ♦ Ergodic theorems. ♦ Honours, MSc and PhD projects: ♦ Field theory and string theory on quantum spaces. ♦ The operator algebraic formulation of quantum physics. ♦ Noncommutative ergodic theory and quantum statistical mechanics. ♦ Quantum groups and their actions. What interests and experience do you need? Background required up to Hons level: ♦ Quantum mechanics and statistical physics. ♦ Undergraduate mathematics courses in Analysis and Abstract Algebra. In addition, a strong background in, or willingness to study, the following mathematical topics: Functional Analysis, Topology, Measure Theory, and Operator Algebras. Kyle Oerder