Some open problems in random matrix theory and the theory of integrable systems

zbMath1147.15305arXiv0712.0849MaRDI QIDQ3517573

Percy A. Deift

Publication date: 12 August 2008

Full work available at URL: https://arxiv.org/abs/0712.0849

zbMATH Keywords

Painlevé equationintegrable systemscentral limit theoremToda latticeKorteweg-de Vries equationrandom matrix theoryRiemann-Hilbert problems

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Central limit and other weak theorems (60F05) KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Random matrices (algebraic aspects) (15B52) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

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