A mathematical model

Analysis and Probability

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)

People

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Nifeen Altaweel

Nifeen Altaweel

PhD student

Analysis and Probability

Alexander Belton

Dr Alexander Belton CMath, CSci, FIMA, SFHEA

Professor of Mathematics

Analysis and Probability

+44 (0)1524 592371 B55, B - Floor, Fylde College
Gordon Blower

Professor Gordon Blower

Professor of Mathematical Analysis

Analysis and Probability

+44 (0)1524 593962 B08, B - Floor, Fylde College
Yemon Choi

Dr Yemon Choi

Lecturer in Pure Mathematics

Analysis and Probability

+44 (0)1524 592350 B60a, B - Floor, Fylde College
G. Dales

Professor G. Dales

Professor of Pure Mathematics

Analysis and Probability

+44 (0)1524 593967 B002, B - Floor, Engineering Building
Stephen Decent

Professor Stephen Decent

Professor of Applied Mathematics

Analysis and Probability

+44 (0)1524 592568
Gabor Elek

Professor Gabor Elek

Professor of Pure Mathematics

Algebra and Geometry, Analysis and Probability

+44 (0)1524 594746
Daniel Elton

Dr Daniel Elton

Senior Lecturer in Pure Mathematics

Analysis and Probability

+44 (0)1524 593890 B06, B - Floor, Fylde College
Tiziano Gaudio

Tiziano Gaudio

PhD student

Analysis and Probability

Blake Green

Blake Green

PhD student

Analysis and Probability

Robin Hillier

Dr Robin Hillier

Lecturer in Pure Mathematics

Algebra and Geometry, Analysis and Probability

+44 (0)1524 594907
Eleftherios Kastis

Dr Eleftherios Kastis

Research Associate

Analysis and Probability, Discrete Mathematics and Geometric Rigidity

Derek Kitson

Dr Derek Kitson

Lecturer in Pure Mathematics

Analysis and Probability, Discrete Mathematics and Geometric Rigidity

+44 (0)1524 594914 B06a, B - Floor, Fylde College
Dmitry Korshunov

Professor Dmitry Korshunov

Professor of Probability

Analysis and Probability

+44 (0)1524 594021 B59, B - Floor, Fylde College
David Leslie

Professor David Leslie

Professor of Statistics

Analysis and Probability, DSI - Foundations, Statistical Learning, STOR-i Centre for Doctoral Training

+44 (0)1524 593063 B73, B - Floor, PSC
George Liddle

George Liddle

PhD student

Analysis and Probability

Martin Lindsay

Professor Martin Lindsay

Professor of Pure Mathematics

Analysis and Probability

+44 (0)1524 594532
Christopher Menez

Christopher Menez

PhD student

Analysis and Probability

Peter Neal

Professor Peter Neal

Professor of Statistics

Analysis and Probability, Bayesian and Computational Statistics, DSI - Health, STOR-i Centre for Doctoral Training

+44 (0)1524 593848
Em Poulter

Em Poulter

PhD student

Analysis and Probability

Stephen Power

Professor Stephen Power

Professor of Pure Mathematics

Analysis and Probability, Discrete Mathematics and Geometric Rigidity

+44 (0)1524 593958
Amanda Turner

Dr Amanda Turner

Senior Lecturer in Mathematics & Statistics

Analysis and Probability, STOR-i Centre for Doctoral Training

+44 (0)1524 593948 B54, B - Floor, Fylde College
Dirk Zeindler

Dr Dirk Zeindler

Lecturer in Pure Mathematics

Analysis and Probability

+44 (0)1524 593644 B39a, B - Floor, Fylde College

Publications

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