Level spacing functions and the connection problem of a fifth Painleve transcendent

DOI10.1088/0305-4470/28/11/018zbMath0830.34005OpenAlexW2039287850MaRDI QIDQ4845658

Pragya Shukla

Publication date: 18 October 1995

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

Full work available at URL: https://doi.org/10.1088/0305-4470/28/11/018

zbMATH Keywords

asymptotic expansionPainlevé transcendentseigenvalues of random matricesFredholm determinantsJimbo's method of monodromy preserving deformationslevel spacing functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52) Asymptotic expansions of solutions to ordinary differential equations (34E05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (2)

Emergence of a singularity for Toeplitz determinants and Painlevé V ⋮ On the connection problem for nonlinear differential equation

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