Téléchargez le livre : Random Matrix Theory with an External Source

Random Matrix Theory with an External Source

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Éditeur :

Springer


Collection :

SpringerBriefs in Mathematical Physics

Paru le : 2017-01-11

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Description
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.
Pages
138 pages
Collection
SpringerBriefs in Mathematical Physics
Parution
2017-01-11
Marque
Springer
EAN papier
9789811033155
EAN PDF
9789811033162
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
1905 Ko
Prix
63,29 €
EAN EPUB
9789811033162
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
2447 Ko
Prix
63,29 €

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