You might also like

More about Random Matrix Theory with an External Source

• Book details
• Synopsis
• Trending among others

You get 150 loyalty points

Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Groups & group theory

• Full title: Random Matrix Theory with an External Source
• Author: Edouard Brézin, Shinobu Hikami
• Language: English
• Binding: Paperback
• Number of pages: 138
• EAN: 9789811033155
• ISBN: 9811033153
• ID: 15366954
• Publisher: Springer Verlag, Singapore
• Weight: 250 g
• Dimensions: 235 × 154 × 13 mm
• Date of publishing: 17. January 2017

Trending among others

---

---

---