Random Matrix Theory with an External Source: 19 (SpringerBriefs in Mathematical Physics, 19) - Softcover
Book 18 of 40: SpringerBriefs in Mathematical Physics
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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.
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Random matrix theory with an external source. SpringerBriefs in Mathematical Physics; Bd. volume 19.
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Random Matrix Theory with an External Source (SpringerBriefs in Mathematical Physics, Band 19) [Paperback] Brézin, Edouard and Hikami, Shinobu
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Random Matrix Theory with an External Source
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 152 pp. Englisch. Seller Inventory # 9789811033155
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Random Matrix Theory With an External Source
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Expresses the correlation function of the Gaussian random matrix model with an external source in the integral formulaExamines universal behaviors of level spacing distributions for an arbitrary external source. Seller Inventory # 132702535
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Random Matrix Theory with an External Source (SpringerBriefs in Mathematical Physics (19))
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Random Matrix Theory With an External Source
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Random Matrix Theory with an External Source
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Springer Nature Singapore, Springer Nature Singapore Jan 2017, 2017
ISBN 10: 9811033153
ISBN 13: 9789811033155
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Taschenbuch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 152 pp. Englisch. Seller Inventory # 9789811033155
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Random Matrix Theory with an External Source (SpringerBriefs in Mathematical Physics (19))
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Random Matrix Theory with an External Source
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9789811033155