Stochastic analysis


The research of this group is mainly concerned with mathematical and statistical modelling of systems evolving randomly in space and time. The group has a particularly strong reputation and interest in developing and applying the theory and methods of stochastic processes to financial risk management.

Group members

Research interests

The research interests of the Stochastic Analysis group cover a number of different interrelated areas.

Stochastic processes

  • Stochastic partial differential equations
  • Optimal stochastic control
  • Fractional Brownian motion
  • Stochastic differential equations
  • Enlargements of filtration
  • Anomalous diffusion
  • Branching processes and interacting particle systems
  • Feynman-Kac semigroups

Time series

  • Inference for discrete values time series
  • Large sample properties of estimation
  • Continuous time limits of discrete time processes
  • Applications in policy intervention
  • Application to high frequency financial series

Extreme value theory

  • Max-stable and related processes
  • Multivariate extremes
  • Spatial and temporal modelling
  • Computational techniques for inference
  • Applications to environmental and climate extremes
  • Risk analysis and rare event simulation