Random Matrix Theory with an External Source : SpringerBriefs in Mathematical Physics : Book 19 - Edouard Brézin

eTEXT

Random Matrix Theory with an External Source

By: Edouard Brézin, Shinobu Hikami

eText | 11 January 2017

At a Glance

eText


$89.99

or 4 interest-free payments of $22.50 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Read online on
Desktop
Tablet
Mobile

Not downloadable to your eReader or an app

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

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.

Read online on
Desktop
Tablet
Mobile

More in Physics

Coming of Age in the Milky Way - Timothy Ferris

eBOOK

RRP $37.39

$29.99

20%
OFF
College Chemistry : Collins College Outlines - Steven Boone

eBOOK

Gravity's Chain - Alan Goodwin

eBOOK

$8.99

Science is Golden - Karl Kruszelnicki

eBOOK

Mars : A Survival Guide - Guy Murphy

eBOOK

Basic Mathematics : Collins College Outlines - Lawrence A. Trivieri

eBOOK