Atkin, Max; Zohren, Stefan: Instantons and Extreme Value Statistics of Random Matrices. In: Journal of High Energy Physics. Jg.2014 H. 4. 2014
Inhalt
- Introduction
- The orthogonal polynomial approach to gap probabilities
- Orthogonal polynomials for matrix models in presence of a hard wall
- String equations in absence of a hard wall
- String equations in presence of a hard wall
- Large deviations from string equations and instantons
- Perturbative and non-perturbative expansion of the string equations
- Large deviations in the case of Gaussian potential
- Large deviations in the case of a multi-critical potential
- Eigenvalue tunnelling and the spectral curve
- Eigenvalue tunnelling and the qualitative behaviour of P(N)(z;t)
- The rate function and the spectral curve
- String theoretic comments
- Conclusion
- Properties of the family of multi-critical potentials