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Current Postgraduate Research Students

Gordon Blower supervises 1 postgraduate research students. If these students have produced research profiles, these are listed below:

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Professor Gordon Blower

Professor

Gordon Blower

Lancaster University

Fylde College

LA1 4YF

Lancaster

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
  • Published

    Topics in Cyclic Theory

    Quillen, D. G. & Blower, G., 9/07/2020, Cambridge: Cambridge University Press. 320 p. (London Mathematical Society Student Texts)

    Research output: Book/Report/ProceedingsBook

  • Forthcoming

    Tau functions for linear systems

    Blower, G. & Newsham, S., 3/03/2020, (Accepted/In press) Operator theory advances and applications: IWOTA Lisbon 2019. Bastos, A., Castro, L. & Karlovich, A. (eds.). Springer Birkhäuser, 27 p. (International Workshop on Operator Theory and Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paper

  • Published

    On determinant expansions for Hankel operators

    Blower, G. & Chen, Y., 4/02/2020, In : Concrete Operators. 7, 1, p. 13-44 34 p.

    Research output: Contribution to journalJournal article

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