Akemann, Gernot; Strahov, Eugene; Würfel, Tim Robert: Averages of products and ratios of characteristic polynomials in polynomial ensembles. In: Annales Henri Poincaré: A Journal of Theoretical and Mathematical Physics. Jg.21. 2020, S. pages3973–4002 ff.
Inhalt
- 2.1. Polynomial Ensembles
- 2.2. Polynomials Ensembles as Giambelli Compatible Point Processes
- 2.3. Averages of Arbitrary Ratios of Characteristic Polynomials in Invertible Ensembles
- 2.4. A Formula for the Correlation Kernel for Invertible Ensembles
- 3. Proof of Theorem 2.2
- 4. Proof of Theorem 2.9
- 5. Special Cases
- Acknowledgements
- Appendix A. Properties of Vandermonde Determinants
- References