Determination ofS-curves with applications to the theory of non-Hermitian orthogonal polynomials

DOI10.1088/1742-5468/2013/06/P06006zbMath1456.82336arXiv1305.3028OpenAlexW3103244606MaRDI QIDQ3301621

Gabriel Álvarez, Elena Medina, Luis Martínez-Alonso

Publication date: 11 August 2020

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

Full work available at URL: https://arxiv.org/abs/1305.3028

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (13)

Multiple phases and meromorphic deformations of unitary matrix models ⋮ Investigation of the two-cut phase region in the complex cubic ensemble of random matrices ⋮ Gravitational lensing by eigenvalue distributions of random matrix models ⋮ Critical measures for vector energy: global structure of trajectories of quadratic differentials ⋮ Supercritical regime for the kissing polynomials ⋮ Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight ⋮ Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval ⋮ Do orthogonal polynomials dream of symmetric curves? ⋮ Topological expansion in the complex cubic log-gas model: one-cut case ⋮ S-curves in polynomial external fields ⋮ Zero distribution of complex orthogonal polynomials with respect to exponential weights ⋮ Delayed deconfinement and the Hawking-Page transition ⋮ Phase structure and asymptotic zero densities of orthogonal polynomials in the cubic model

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