Research Areas
Research areas of the Analysis and Probability group include Functional Analysis, Operator Theory, Noncommutative Probability, Pure and Applied Probability and Stochastic Processes.
Functional Analysis
- Banach algebras, Banach spaces (Yemon Choi, Garth Dales, Graham Jameson, Niels Laustsen)
- Operator algebras (Gabor Elek, Niels Laustsen, Martin Lindsay, Steve Power)
Operator Theory
- Operator theory, Operator semigroups (Alex Belton, Gordon Blower, Derek Kitson, Martin Lindsay, Steve Power)
- PDE in mathematical physics, including Schroedinger and Dirac operators (Daniel Elton)
Noncommutative Probability
- Quantum probability, Free probability (Alex Belton, Natasha Blitvic, Gabor Elek, Robin Hillier, Martin Lindsay)
- Quantum groups (Yemon Choi, Garth Dales, Robin Hillier, Martin Lindsay)
- Random matrix theory (Gordon Blower, Dirk Zeindler)
Probability and Stochastic Processes
- Markov chains (Dmitry Korshunov, Pete Neal)
- Limit theorems, Large deviations (Dmitry Korshunov, Amanda Turner, Dirk Zeindler)
- Applied probability (Dmitry Korshunov, Pete Neal)
- Stochastic approximation (David Leslie)
- Stochastic Loewner equations (Amanda Turner)
