Wednesday, October 31, 2018 - 16:15 in V3-201
Cauchy-Transform of Orthogonal Polynomials
A talk in the AG Zufallsmatrizen series by
Markus Ebke from Bielefeld University
| Abstract: |
When using the orthogonal polynomial approach to random matrix theory, one may find that certain
quantities are expressed as the Cauchy-transform of the polynomials. In my talk I will present a
method to compute the large-N limit of these Cauchy-transforms and apply it to the elliptic Ginibre
ensemble (Hermite-polynomials) and its chiral version (Laguerre-polynomials). In the latter case the
Cauchy-transforms represent the bosonic QCD-partition function with chemical potential.
|
Back
