Progress on the Study of the Ginibre Ensembles

This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within random matrix theory, featuring, for example, the first book on the subject written by Mehta in 1967. Their status has been...

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Detalles Bibliográficos
Autores principales: Byun, Sung-Soo. author (author), Forrester, Peter J. author
Formato: Libro electrónico
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore 2025.
Edición:1st ed. 2025.
Colección:KIAS Springer Series in Mathematics, 3
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009850344606719
Tabla de Contenidos:
  • Introduction
  • Eigenvalue PDFs and Correlations
  • Fluctuation Formulas
  • Coulomb Gas Model, Sum Rules and Asymptotic Behaviours
  • Normal Matrix Models
  • Further Theory and Applications
  • Eigenvalue Statistics for GinOE and Elliptic GinOE
  • Analogues of GinUE Statistical Properties for GinOE
  • Further Extensions to GinOE
  • Statistical Properties of GinSE and Elliptic GinSE
  • Further Extensions to GinSE.