Analysis and Probability

The Analysis and Probability group works in a wide range of areas of analysis, probability and their interface. An indication of the range may be gleaned from the list below. Some members are also involved in activities of the other research groups in the Department.

  • Noncommutative Probability, including quantum and free probability
    (Alex Belton, Natasha Blitvic, Gabor Elek, Robin Hillier, Martin Lindsay, Ollie Margetts, Ping Zhong)
  • Random Matrices and Permutations
    (Gordon Blower, Dirk Zeindler)
  • Operator Algebras, including nonselfadjoint algebras, and Operator Spaces
    (Gabor Elek, Tomek Kania, Niels Laustsen, Martin Lindsay, Steve Power)
  • Banach Algebras and Banach Spaces
    (Yemon Choi, Garth Dales, Graham Jameson, Tomek Kania, Niels Laustsen)
  • Abstract Harmonic Analysis and Quantum Groups
    (Yemon Choi, Garth Dales, Martin Lindsay)
  • Operator Theory and Semigroup Theory
    (Alex Belton, Gordon Blower, Derek Kitson, Martin Lindsay, Steve Power)
  • Algebraic Quantum Field Theory
    (Robin Hillier)
  • PDEs in Mathematical Physics, including Schrodinger and Dirac operators
    (Daniel Elton)
  • Geometric Scaling Limits of Stochastic Processes
    (Amanda Turner)
  • Stochastic Processes, Large Deviations and Heavy Tail Phenomena
    (Dmitri Korchunov)
  • Applied Probability, MCMC
    (Pete Neal)
  • Stochastic Approximation
    (David Leslie)

We are active in several Research Networks, including: