Random Matrix Theory with an External Source is popular PDF and ePub book, written by Edouard Brézin in 2017-01-11, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Random Matrix Theory with an External Source can be Read Online from any device for your convenience.
Random Matrix Theory with an External Source Book PDF Summary
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.
Detail Book of Random Matrix Theory with an External Source PDF
- Author : Edouard Brézin
- Release : 11 January 2017
- Publisher : Springer
- ISBN : 9789811033162
- Genre : Science
- Total Page : 143 pages
- Language : English
- PDF File Size : 11,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Random Matrix Theory with an External Source by Edouard Brézin, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.