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Professor Gordon Blower

Professor

Gordon Blower

Lancaster University

Fylde College

LA1 4YF

Lancaster

Tel: +44 1524 593962

PhD supervision

I an interested in supervising PhDs in the following topics: Random matrices, high dimensional phenomena, and optimal transportation theory. Specifically, I would be willing to supervise a project `Integrating differential equations in random matrix theory'. This would involve using methods from the theory of linear systems to analyze various operators which arise in random matrix theory. In particular, the aim is to extend ideas of Tracy and Widom to new matrix models. To pursue this project, a student would need a sound background in analysis. While the results have applications to statistical physics, the student would not require much background in physics or probability. This project develops a theme from some previous PhD thesis which I have supervised at Lancaster. Further information is available on request.

Research Interests

  • Random Matrix Theory - integrable operators
  • Logarithmic Sobolev inequalities
  • Concentration of measure
  • Operator Semigroups - maximal theorems and transference

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