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Applied

Applied Mathematics at Queen Mary, University of London

The Applied Mathematics group, part of the Mathematics Research Centre at Queen Mary, is engaged in research and postgraduate education in Dynamical Systems, Statistical Mechanics, and Probability. Our research in Dynamical Systems is mainly focused on ergodic properties of nonlinear systems, while topics in Statistical Mechanics cover equilibrium and non-equilibrium systems. Research in Probability mainly focuses on the interface between Probability and Physics, and Probability and Combinatorics. We investigate fundamental theories, as well as applications to real world problems, such as control of chaos, modelling of Internet traffic, or turbulence.

In the 2008 research assessment exercise, 12.1% of the research outputs of the Applied Mathematics Group were judged to be 'world leading' and 39.6% to be 'internationally excellent'.

To find out about the research interests of members of the group, browse the research gallery below, and follow the links. Further information can be found in the people section, and on the publications pages. The seminars and events sections will tell you about ongoing activities in the applied group. If you are interested in doing postgraduate research in our group, please consult the relevant postgraduate pages as well.

Research gallery

reybo
Measured correlations of acceleration components of test particles in turbulent flows can be well reproduced by superstatistical models. (Christian Beck)
randtraj
Trajectory (in red) of a particle moving in force field (in blue) subjected to noise. Because of the noise, the particle often ventures far from its attractor (in green). This sort of dynamical system is the subject of the theory of large deviations. (Hugo Touchette)
detdiff
Interplay between microscopic chaos and macroscopic transport in a simple model system. Deterministic diffusion in a one-dimensional map and fractal parameter dependence of the associated diffusion coefficient. (Rainer Klages)
asep
The phase diagram for a disordered version of the asymmetric simulation exclusion process (ASEP). The ASEP is a paradigmatic model in non-equilibrium statistical mechanics, used to describe processes as diverse as polymer dynamics, traffic flow, ant trails, and packet transport in the internet. (Rosemary Harris)
poly
Lattice models for interacting polymers. The set of chord diagrams with n chords and m crossings is in bijection with the set of partially directed walks in a wedge with n horizontal steps and m up steps. (Thomas Prellberg)
sqw
Scattering of light in fluids. Analytical result for the dynamic structure factor in a simple one dimensional model system. (Wolfram Just)
Complex networks and the brain. The mathematical analysis of networks constructed from neuroimaging recordings helps to understand neural disorders associated with an altered reorganization of the human brain. (Vito Latora)
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