Random Matrices

Tiling Image

The mean eigenvalue density, Normal Matrix Model.

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  • More Information

  • For graduate students

    Here is an example of a track of courses that can lead to research in one of the areas on this site:

  • Analysis core course
  • Complex variables (Math 520A/B)
  • Functional Analysis / Hilbert Spaces
  • Differential Equations
  • Probability
  • Applied complex analysis
  • Direct and Inverse Spectral Transforms:

    - problems and Riemann-Hilbert problems

    Riemann Hilbert Image

    The semi-classically scaled - problem associated to the Davey-Stewartson equation

    NLWaves Working Group

    A rag-tag team studying singular limits of integrable partial differential equations

    Semi-classical scaling of the Defocusing Davey-Stewartson equation

    Gibbs-phenomenon in the Schroedinger equation

    Approxmation Theory

    Zeros of orthogonal polynomials on the unit circle, and asymptotic bounds



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