Queen Mary, University of London divider image divider image

Applied

Welcome to the Applied Mathematics section at Queen Mary

Research interests of the group concern topics in Nonlinear Dynamics, Statistical Mechanics, and Probability. With regards to Nonlinear Dynamics the main focus is on ergodic properties of dynamical 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. Besides the research activity on fundamental aspects there is as well a strong focus on applications of Nonlinear Dynamics, Statistical Mechanics and Probability to real world problems, like 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'. If you are interested in doing postgraduate research in our group, please consult the relevant postgraduate pages as well .

More details about the research interests of members of the group can be found in the People section, on the Publications pages, or in the research gallery below. Please consult Seminars and Events as well for the ongoing activities in the applied group.

Research Gallery

reybo Measured correlations of acceleration components of test particles in turbulent flows can be well reproduced by superstatistical models. (Christian Beck)
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)
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)
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)
asep Simulation data showing 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 and simple variants have also been used to describe processes as diverse as polymer dynamics, traffic flow, ant trails, and packet transport in the internet. (Rosemary Harris)
sqw Scattering of light in fluids. Analytical result for the dynamic structure factor in a simple one dimensional model system. (Wolfram Just)