Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations

DOI10.1088/0305-4470/36/12/314zbMath1053.15017arXivhep-th/0209087OpenAlexW3098654858MaRDI QIDQ4443886

Pavel M. Bleher, Bertrand Eynard

Publication date: 19 January 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0209087

zbMATH Keywords

orthogonal polynomialsrandom matricesphase transitiondistribution of eigenvaluesdouble scaling limit

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

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