Next Article in Journal / Special Issue
The Relationship Between Morphological Symmetry and Immune Response in Wild-Caught Adult Bush-Crickets
Previous Article in Journal / Special Issue
A Stochastic Poisson Structure
Article Menu

Article Versions

Export Article

Open AccessArticle
Symmetry 2009, 1(1), 64-105; doi:10.3390/sym1010064

Nuclei, Primes and the Random Matrix Connection

The Henry Koerner Center for Emeritus Faculty, Yale University, New Haven, CT 06520, USA
Department of Mathematics and Statistics, Williams College, Williamstown, MA 01267, USA
Author to whom correspondence should be addressed.
Received: 16 July 2009 / Revised: 3 September 2009 / Accepted: 18 September 2009 / Published: 20 September 2009
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
Download PDF [563 KB, uploaded 21 September 2009]


In this article, we discuss the remarkable connection between two very different fields, number theory and nuclear physics. We describe the essential aspects of these fields, the quantities studied, and how insights in one have been fruitfully applied in the other. The exciting branch of modern mathematics – random matrix theory – provides the connection between the two fields. We assume no detailed knowledge of number theory, nuclear physics, or random matrix theory; all that is required is some familiarity with linear algebra and probability theory, as well as some results from complex analysis. Our goal is to provide the inquisitive reader with a sound overview of the subjects, placing them in their historical context in a way that is not traditionally given in the popular and technical surveys.
Keywords: Random Matrix Theory; Nuclear Physics; L-functions. MSC: 11M26 (primary); 11B52 (secondary) Random Matrix Theory; Nuclear Physics; L-functions. MSC: 11M26 (primary); 11B52 (secondary)
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Share & Cite This Article

MDPI and ACS Style

Firk, F.W.K.; Miller, S.J. Nuclei, Primes and the Random Matrix Connection. Symmetry 2009, 1, 64-105.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top