Bulk asymptotics of skew-orthogonal polynomials for quartic double well potential and universality in the matrix model

DOI10.1063/1.3093266zbMath1298.42031arXiv0808.1256OpenAlexW3097978269MaRDI QIDQ3069130

Saugata Ghosh

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1256

zbMATH Keywords

matrix algebrapolynomialsrandom processesrecursive functions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Cites Work

• Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
• A Riemann-Hilbert problem for skew-orthogonal polynomials
• Asymptotics of skew orthogonal polynomials
• Skew-orthogonal polynomials and random-matrix ensembles
• Skew-orthogonal polynomials, differential systems and random matrix theory
• Generalized Christoffel–Darboux formula for classical skew-orthogonal polynomials
• Statistical Theory of the Energy Levels of Complex Systems. IV
• Generalized Christoffel–Darboux formula for skew-orthogonal polynomials and random matrix theory
• A Class of Matrix Ensembles
• Universality in orthogonal and symplectic invariant matrix models with quartic potential

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