School of Mathematical Sciences


Members of the Dynamical Systems and Statistical Physics Group

Oscar Bandtlow is interested in functional analysis and its applications to dynamical systems and statistical mechanics. A particular concern is to develop methods from operator theory to study the probabilistic behaviour of chaotic dynamical systems. After completing his PhD in Theoretical Physics at the Unversity of Cambridge he held various positions in Glasgow, London and Nottingham before joining QMUL as a lecturer in 2006.
Adrian Baule is interested in the theoretical description of complex non-equilibrium systems using methods of statistical physics. After finishing his PhD at Leeds University in 2008, Adrian has spent three years as a postdoc in New York: in the lab of Boltzmann medalist E. G. D. Cohen at Rockefeller University and as a distinguished Levich Fellow at the City College of New York. He joined Queen Mary as a Lecturer in Applied Mathematics in September 2011. His recent work deals with the foundations of non-equilibrium statistical mechanics and its application to phenomena in soft condensed matter, biophysics, and finance.
Christian Beck has broad research interests, covering generalized statistical mechanics methods for complex systems, spatio-temporal chaos and stochastic processes. Together with the late Boltzmann-medalist Eddie Cohen (Rockefeller University, NY) he has introduced the superstatistics concept, to describe complex systems with time scale separation. Applications include turbulent flows, scattering processes in high energy physics, electricity power grids, mathematical finance, as well as medical and biological applications. Another research area of his are stochastically quantized field theories, axionic dark matter and dark energy models.  With the late Friedrich Schloegl, he co-authored the book `Thermodynamics of Chaotic Systems', an accessible introduction to the thermodynamic formalism of dynamical systems. Christian Beck is currently Chairman of the Statistical and Nonlinear Physics Division of the European Physical Society (EPS).
Rosemary Harris is interested in stochastic non-equilibrium processes. In particular, she uses the framework of interacting particle systems both to study fundamental aspects of non-equilibrium statistical physics (such as the application and validity of fluctuation theorems) and to develop toy models for various applications, for example vehicular traffic, biological transport and financial markets. She came to QMUL in 2007 after completing a DPhil at the University of Oxford and holding research positions at the Forschungszentrum J├╝lich and the Universit├Ąt des Saarlandes.
Oliver Jenkinson(link is external) is interested in Ergodic Theory and Dynamical Systems. He was a founder of the research area of Ergodic Optimization. Other dynamical interests include symbolic dynamics, thermodynamic formalism, hyperbolic dynamics, smooth ergodic theory, entropy, combinatorial dynamics, and fractal geometry. His work has interaction with geometry, topology, probability theory, number theory, numerical analysis, convex analysis, functional analysis, and complex analysis.
Christopher Joyner's research concerns the interplay between random matrix theory and the spectral theory of graphs. In a number of systems, such as chaotic billiards or large complex graphs, the underlying complexity is reflected in the statistical properties of the associated eigenfunctions. In addition he is also interested in the questions related to isospectrality of graphs. Two systems, or objects, are said to be isospectral if all their eigenvalues are the same. In 1966 Mark Kac proposed the now famous question - can one hear the shape of the drum? Meaning if two billiards share the same spectrum, must they necessarily be the same? We now know the answer to be no, since in 1992 Gordon, Webb and Wolpert constructed a counterexample. Again, for discrete graphs one may construct isospectral pairs. He is interested in how these differ in the nodal properties of their eigenfunctions and what this might tell us about the graphs themselves.
Rainer Klages' research interests cover dynamical systems theory, nonequilibrium statistical physics and complexity with applications to nanoscience and biology. He spent several years as a postdoctoral researcher in the USA, Hungary, Belgium and Germany before moving to Queen Mary in 2004. He discovered a fractal parameter dependence of transport coefficients and analysed relations between chaos and transport in dissipative systems. More recently he applied the stochastic theory of anomalous transport to understand biological cell migration and bumblebee flights. His research in theoretical physics and applied mathematics thus ranges from mathematical foundations to experimental applications. He published several books and, after receiving an Outstanding Referee Award from the American Physical Society, is currently serving as a Divisional Associate Editor for Physical Review Letters.
Thomas Prellberg is interested in lattice statistical mechanics, enumerative and asymptotic combinatorics, dynamical systems, Monte Carlo algorithms, and soft condensed matter. His work in Monte Carlo algorithms constitutes a significant contribution to the means and methods of simulating random structures, such as walks, on a regular lattice by computer. A mathematical constant(link is external) occurring in the asymptotic analysis of recursive programming is named after him. Thomas is affiliated with Clausthal University of Technology in Germany. He is also an Associate Investigator of the Centre of Excellence for Mathematics and Statistics of Complex Systems at the University of Melbourne in Australia.
Franco Vivaldi works in Dynamical Systems. He was one of the founders of the discipline of arithmetic dynamics, which is concerned with applications of arithmetical and algebraic methods to the study of dynamical systems. Current research includes investigation of the phenomenon of `pseudo-chaos' in zero-entropy systems (in collaboration with J H Lowenstein at NYU, New York), and the study of statistical properties of dynamical systems over finite fields (in collaboration with John Roberts at UNSW, Sydney).
Wolfram Just studied physics in Germany and Japan. He joined QMUL in 2000. His research covers topics in dynamical systems' theory and the statistical physics of nonequilibrium systems, with particular emphasis on time delay dynamics, stability and control of complex nonlinear systems, and scaling behaviour and nonequilibrium phase transitions in spatially extended systems. Applications concern, for instance, the stabilisation of unstable periodic states in electronic and mechanical systems by time delayed feedback, so-called "control of chaos". Other recent results deal with topics in nonlinear data analysis, e.g., the modelling of chaotic motion by noise, or the application of statistical mechanics and symbolic dynamics to understand emergent behaviour in space-time chaotic models.