Random Matrix Theory with an External Source

Name: Random Matrix Theory with an External Source
Brand: Springer Verlag, Singapore
SKU: 9789811033155
Price: 1624 CZK
Availability: InStock

Autor: Edouard Brézin, Shinobu Hikami

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer Verlag, Singapore

Dostupnost: U nakladatele na objednávku

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This is the first book to show that the theory of Gaussian random matrix is essential to understand...

Informace o knize

Autor

Edouard Brézin, Shinobu Hikami

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2017

Stránek

138

EAN

9789811033155

ISBN

9811033153

Enbook ID

15366954

Vydavatel

Springer Verlag, Singapore

Hmotnost

250

Rozměry

154 x 235 x 13

Kompletní popis

This is the first book to show that the theory of Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate the 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. Our 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.

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Random Matrix Theory with an External Source

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