Level spacing functions and connection formulas for Painlevé V transcendent

DOI10.1016/S0167-2789(01)00172-5zbMath0997.34085MaRDI QIDQ5940211

Victor Yu. Novokshenov

Publication date: 3 March 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

random matricescorrelation functionsFredholm determinantisomonodromic deformationPainlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items

The numerical solution of the second Painlevé equation ⋮ On the connection problem for nonlinear differential equation

Cites Work

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• Fredholm determinants and inverse scattering problems
• Connection formulae for Painlevé functions
• THE METHOD OF ISOMONODROMY DEFORMATIONS AND THE ASYMPTOTICS OF SOLUTIONS OF THE “COMPLETE” THIRD PAINLEVÉ EQUATION
• Asymptotics of level-spacing distributions for random matrices