Asymptotic analysis of the two matrix model with a quartic potential
arXiv:1210.0097
Abstract
We give a summary of the recent progress made by the authors and collaborators on the asymptotic analysis of the two matrix model with a quartic potential. The paper also contains a list of open problems.
17 pages, 1 figure; This is a contribution to the proceedings of the MSRI semester "Random matrix theory, interacting particle systems and integrable systems."
References in corpus (10)
- Universal singularity at the closure of a gap in a random matrix theory
- The Pearcey Process
- Duality, Biorthogonal Polynomials and Multi-Matrix Models
- Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem
- Nonintersecting random walks in the neighborhood of a symmetric tacnode
- Weakly Admissible Vector Equilibrium Problems
- A vector equilibrium problem for the two-matrix model in the quartic/quadratic case
- Universality in the two matrix model with a monomial quartic and a general even polynomial potential
- The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
- Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses