Overview
- Expresses the correlation function of the Gaussian random matrix model with an external source in the integral formula
- Examines universal behaviors of level spacing distributions for an arbitrary external source
- Obtains the topological invariants such as the intersection numbers of the moduli space of spin curves by the duality and replica method in the scaling limit of the external source
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematical Physics (BRIEFSMAPHY, volume 19)
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Table of contents (10 chapters)
Keywords
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Bibliographic Information
Book Title: Random Matrix Theory with an External Source
Authors: Edouard Brézin, Shinobu Hikami
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-981-10-3316-2
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-981-10-3315-5Published: 17 January 2017
eBook ISBN: 978-981-10-3316-2Published: 11 January 2017
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: XII, 138
Topics: Mathematical Physics, Statistical Physics and Dynamical Systems, Topological Groups, Lie Groups, Particle and Nuclear Physics, Complex Systems