scholarly journals Open problems in applying random-matrix theory to nuclear reactions

2014 ◽  
Vol 41 (9) ◽  
pp. 094010 ◽  
Author(s):  
H A Weidenmüller
Keyword(s):  
Random Matrix Theory ◽  
Random Matrix ◽  
Nuclear Reactions ◽  
Matrix Theory ◽  
Open Problems

FREE ENTROPY

2002 ◽  
Vol 34 (3) ◽  
pp. 257-278 ◽  
Author(s):  
DAN VOICULESCU
Keyword(s):  
Probability Theory ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Von Neumann Algebras ◽  
Matrix Theory ◽  
Free Probability ◽  
Open Problems ◽  
Von Neumann ◽  
Free Probability Theory ◽  
Free Entropy

Free entropy is the analogue of entropy in free probability theory. The paper is a survey of free entropy, its applications to von Neumann algebras and its connections to random matrix theory, as well as a discussion of open problems and of a basic variational problem, connected to random multimatrix models.

SSA, Random Matrix Theory, and Noise-Reduced Correlations

2016 ◽  
Author(s):  
Jan W Dash ◽  
Xipei Yang ◽  
Mario Bondioli ◽  
Harvey J. Stein
Keyword(s):  
Random Matrix Theory ◽  
Random Matrix ◽  
Matrix Theory

History—an overview

2018 ◽  
Author(s):  
Oriol Bohigas ◽  
Hans A. Weidenmüller
Keyword(s):  
Random Matrix Theory ◽  
Random Matrix ◽  
Matrix Theory ◽  
Rapid Development ◽  
The Past ◽  
History Of ◽  
And Mathematics

An overview of the history of random matrix theory (RMT) is provided in this chapter. Starting from its inception, the authors sketch the history of RMT until about 1990, focusing their attention on the first four decades of RMT. Later developments are partially covered. In the past 20 years RMT has experienced rapid development and has expanded into a number of areas of physics and mathematics.

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