Phase transitions in multi-cut matrix models and matched solutions of Whitham hierarchies

DOI10.1088/1742-5468/2010/03/P03023zbMath1456.37069arXiv1001.4355OpenAlexW3099628210MaRDI QIDQ3301152

Elena Medina, Gabriel Álvarez, 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/1001.4355

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (6)

Gravitational lensing by eigenvalue distributions of random matrix models ⋮ Determination ofS-curves with applications to the theory of non-Hermitian orthogonal polynomials ⋮ Equilibrium measures in the presence of certain rational external fields ⋮ On external fields created by fixed charges ⋮ An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model ⋮ Phase transitions and equilibrium measures in random matrix models

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