## 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)