Random Matrix Theory with an External Source

Name: Random Matrix Theory with an External Source
Brand: Springer Verlag, Singapore
SKU: 9789811033155
Price: 63.37 EUR
Availability: InStock

Автор: Edouard Brézin, Shinobu Hikami

Език:

Корици: С меки корици

Издател: Springer Verlag, Singapore

Наличност: Външен склад

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63.37 € 123.95 лв

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

Информация за книгата

Автор

Edouard Brézin, Shinobu Hikami

Език

Английски език

Корици

Книга - С меки корици

Издадена

2017

страници

138

EAN

9789811033155

ISBN

9811033153

Enbook ID

15366954

Издател

Springer Verlag, Singapore

Теглоt

250

Размери

154 x 235 x 13

Пълно описание

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

Информация за книгата

Пълно описание

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