Fredholm determinants

DOI10.2478/s11533-011-0003-5zbMath1223.46002OpenAlexW4238792424MaRDI QIDQ539196

H. P. jun. McKean

Publication date: 27 May 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0003-5

zbMATH Keywords

Brownian motionrandom matricesdeterminantsKdV equationFredholm operatorsfunction spaceskernel operators

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Brownian motion (60J65) (Semi-) Fredholm operators; index theories (47A53) Random matrices (algebraic aspects) (15B52) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

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Cites Work

• On the distribution of the roots of certain symmetric matrices
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• The Fredholm determinant method for the KdV equations
• Fredholm determinants and inverse scattering problems
• Statistical Theory of the Energy Levels of Complex Systems. I
• Method for Solving the Korteweg-deVries Equation
• The Wiener Measure of Hilbert Neighborhoods in the Space of Real Continuous Functions
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