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Random Matrix Theory with an External Source

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Paru le : 2017-01-11

This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a ...
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Description du livre

This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a deterministic matrix source. In such models the correlation functions are known exactly for an arbitrary source and for any size of the matrices. The freedom given by the external source allows for various tunings to different classes of universality. The main interest is to use this freedom to compute various topological invariants for surfaces such as the intersection numbers for curves drawn on a surface of given genus with marked points, Euler characteristics, and the Gromov–Witten invariants. A remarkable duality for the average of characteristic polynomials is essential for obtaining such topological invariants. The analysis is extended to nonorientable surfaces and to surfaces with boundaries.

À propos

Auteur
Edouard Brézin , Shinobu Hikami
Éditeur
Springer
Collection
SpringerBriefs in Mathematical Physics
Parution
2017-01-11
Pages
138 pages
EAN papier
9789811033155

Auteur(s) du livre


Defaut-Illustration Edouard Brézin
Defaut-Illustration Shinobu Hikami

Caractéristiques détaillées - droits

EAN PDF
9789811033162
Prix
63,59 €
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
1905 Ko
Ce livre est accessible aux handicaps informations d'accessibilité
EAN EPUB
9789811033162
Prix
63,59 €
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
2447 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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