Loop equations for the semiclassical 2-matrix model with hard edges

DOI10.1088/1742-5468/2005/10/P10006zbMath1456.82436arXivmath-ph/0504002MaRDI QIDQ4968802

Bertrand Eynard

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0504002

zbMATH Keywords

matrix modelstopology and combinatorics

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items

A matrix model for the topological string. II: The spectral curve and mirror geometry, Asymptotic expansions of some Toeplitz determinants via the topological recursion

Cites Work

• Unnamed Item
• Large \(N\) expansion of the 2-matrix model
• Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices
• Free energy of the two-matrix model/dToda tau-function
• Planar diagrams
• Bilinear semiclassical moment functionals and their integral representation
• On the large-\(N\) limit of the Itzykson-Zuber integral.
• Correlation functions of eigenvalues of multi-matrix models, and the limit of a time-dependent matrix
• Breakdown of universality in multi-cut matrix models