Linear systems and determinantal random point fields

DOI10.1016/j.jmaa.2009.01.070zbMath1190.15037arXiv0808.1276OpenAlexW1966682329MaRDI QIDQ1018357

Gordon Blower

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1276

zbMATH Keywords

random matricesHankel operatorinverse scatteringdeterminantal point processesZakharov-Shabat systemdistribution of eigenvaluessymmetric Hamiltonian systemsGelfand-Levitan integral equationgeneralized unitary ensemble

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Random matrices (algebraic aspects) (15B52) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (4)

On linear systems and \(\tau\) functions associated with Lamé's equation and Painlevé's equation VI ⋮ Linear systems, Hankel products and the sinh-Gordon equation ⋮ Tau functions associated with linear systems ⋮ Kernels and point processes associated with Whittaker functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of KdV. II: Three examples
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Level-spacing distributions and the Airy kernel
• Level spacing distributions and the Bessel kernel
• Fredholm determinants, differential equations and matrix models
• A note on Wiener-Hopf determinants and the Borodin-Okounkov identity
• The inverse spectral problem for selfadjoint Hankel operators
• Operators associated with soft and hard spectral edges from unitary ensembles
• Weyl-Titchmarsh M -Function Asymptotics for Matrix-valued Schrödinger Operators
• Determinantal random point fields
• ADMISSIBLE AND WEAKLY ADMISSIBLE OBSERVATION OPERATORS FOR THE RIGHT SHIFT SEMIGROUP
• Exact solutions to the focusing nonlinear Schrödinger equation

This page was built for publication: Linear systems and determinantal random point fields