Asymptotic Expansion of a Partition Function Related to the Sinh-model

This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Borot, Gaëtan (Autor), Guionnet, Alice (Autor), Kozlowski, Karol K. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Mathematical Physics Studies,
Temas:
Mathematical physics.
Probabilities.
Potential theory (Mathematics).
System theory.
Mathematical Physics.
Probability Theory.
Potential Theory.
Complex Systems.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Main results and strategy of proof
  • Asymptotic expansion of ln ZN[V], the Schwinger-Dyson equation approach
  • The Riemann-Hilbert approach to the inversion of SN
  • The operators WN and U-1N
  • Asymptotic analysis of integrals
  • Several theorems and properties of use to the analysis
  • Proof of Theorem 2.1.1
  • Properties of the N-dependent equilibrium measure
  • The Gaussian potential
  • Summary of symbols.

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