Fine structure in the large \(n\) limit of the non-Hermitian Penner matrix model

DOI10.1016/j.aop.2015.07.011zbMath1360.15039arXiv1507.02386OpenAlexW4289253580MaRDI QIDQ527871

Gabriel Álvarez, Elena Medina, Luis Martínez-Alonso

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1507.02386

zbMATH Keywords

Laguerre polynomialsrandom matrix theory't Hooft limitPenner model

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Yang-Mills and other gauge theories in quantum field theory (81T13) Continuum limits in quantum field theory (81T27) Random matrices (algebraic aspects) (15B52)

Related Items (5)

Gravitational lensing by eigenvalue distributions of random matrix models ⋮ Supercritical regime for the kissing polynomials ⋮ Phase space and phase transitions in the Penner matrix model with negative coupling constant ⋮ Do orthogonal polynomials dream of symmetric curves? ⋮ On external fields created by fixed charges

Uses Software

• DLMF

Cites Work

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• Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour
• Borel and Stokes nonperturbative phenomena in topological string theory and \(c=1\) matrix models
• Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials
• Asymptotic zero behavior of Laguerre polynomials with negative parameter
• Holomorphic matrix integrals
• Nonperturbative effect in \(c=1\) noncritical string theory and Penner model
• Orthogonal polynomials with complex-valued weight function. I
• Perturbative series and the moduli space of Riemann surfaces
• Quantum field theory techniques in graphical enumeration
• The Euler characteristic of the moduli space of curves
• Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.
• On fluctuations of eigenvalues of random Hermitian matrices.
• The Szegő curve and Laguerre polynomials with large negative parameters
• Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
• THE PENNER MATRIX MODEL AND c = 1 STRINGS
• LOGARITHMIC SCALING VIOLATION AND BOSE CONDENSATION IN ONE-MATRIX MODELS
• Partition functions and the continuum limit in Penner matrix models
• On the Barnes function
• Generalized Penner models and multicritical behavior
• Extremal domains associated with an analytic function I
• Extremal domains associated with an analytic function II
• Breakdown of universality in multi-cut matrix models
• The planar approximation. II
• On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters

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