Nonlinear PDEs for Fredholm determinants arising from string equations

DOI10.1090/conm/593/11782zbMath1288.35414arXiv1207.6341OpenAlexW1529116578MaRDI QIDQ5417082

Pierre van Moerbeke, Mattia Cafasso, Mark Adler

Publication date: 15 May 2014

Published in: Algebraic and Geometric Aspects of Integrable Systems and Random Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6341

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) 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) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Random matrices (algebraic aspects) (15B52)

Related Items (3)

Correlation functions of the KdV hierarchy and applications to intersection numbers over \(\overline{\mathcal{M}}_{g, n}\) ⋮ Non-linear PDEs for gap probabilities in random matrices and KP theory ⋮ Tau functions as Widom constants

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