Progress on the Study of the Ginibre Ensembles

Inbunden, Engelska, 2024

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There is a distinction between the Ginibre ensemble with complex entries (GinUE) and those with real or quaternion entries (GinOE and GinSE, respectively). First, the eigenvalues of GinUE form a determinantal point process, while those of GinOE and GinSE have the more complicated structure of a Pfaffian point process.

Produktinformation

Utgivningsdatum2024-08-21
Mått155 x 235 x 19 mm
Vikt524 g
FormatInbunden
SpråkEngelska
SerieKIAS Springer Series in Mathematics
Antal sidor221
FörlagSpringer Verlag, Singapore
ISBN9789819751723

Tillhör följande kategorier

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.