The continuum limit of Toda lattices for random matrices with odd weights

DOI10.4310/CMS.2012.v10.n1.a13zbMath1269.05059arXiv1106.1143OpenAlexW2964212701MaRDI QIDQ357509

Virgil U. Pierce, Nicholas M. Ercolani

Publication date: 30 July 2013

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1143

zbMATH Keywords

random matricesToda latticeMotzkin pathsmap enumerationconservation law hierarchiesstring equations

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Enumeration in graph theory (05C30) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

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Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials ⋮ Generating series for GUE correlators ⋮ Solution of string equations for asymmetric potentials ⋮ Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation ⋮ Multiple scale asymptotics of map enumeration

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