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Random Matrix Theory with an External Source

Language EnglishEnglish
Book Paperback
Book Random Matrix Theory with an External Source Edouard Brézin
Libristo code: 15366954
Publishers Springer Verlag, Singapore, January 2017
This is the first book to show that the theory of Gaussian random matrix is essential to understand... Full description
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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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About the book

Full name Random Matrix Theory with an External Source
Language English
Binding Book - Paperback
Date of issue 2017
Number of pages 138
EAN 9789811033155
ISBN 9811033153
Libristo code 15366954
Weight 250
Dimensions 154 x 235 x 13
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