Projects per year
We compute explicit formulae for the moments of the densities of the eigenvalues of the classical β-ensembles for finite matrix dimension as well as the expectation values of the coefficients of the characteristic polynomials. In particular, the moments are linear combinations of averages of Jack polynomials, whose coefficients are related to specific examples of Jack characters.
|Number of pages||25|
|Early online date||2 Feb 2017|
|Publication status||Published - 2 Feb 2017|
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- 1 Finished
Wegner estimates and universality for non-Hermitian matrices
1/05/14 → 31/10/17
Professor Francesco Mezzadri
- Probability, Analysis and Dynamics
- School of Mathematics - Professor of Mathematical Physics
- Applied Mathematics
- Mathematical Physics
Person: Academic , Member