## Abstract

Level-spacing distributions of the Gaussian Unitary Ensemble (GUE) of random matrix theory are expressed in terms of solutions of coupled differential equations. Series solutions up to order 50 in the level spacing are obtained, thus providing a very good description of the small-spacing part of the level-spacing distribution, which can be used to make comparisons with experimental or numerical data. The level-spacing distributions can be obtained by solving the system of differential equations numerically.

## Full Text

### Topics from this Paper

- Gaussian Unitary Ensemble
- Level-spacing Distributions
- Gaussian Random Matrix Ensemble
- Unitary Ensemble
- Level Spacing + Show 5 more

Create a personalized feed of these topics

Get Started#### Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call### Similar Papers

- physica status solidi (b)
- Jun 22, 2004

- Physica Status Solidi B-basic Solid State Physics
- Jul 1, 2004

- Journal of Physics A: Mathematical and General
- Aug 21, 1997

- Symmetry, Integrability and Geometry: Methods and Applications
- Jan 21, 2006

- Physical Review Letters
- May 4, 1998

- arXiv: High Energy Physics - Theory
- Jan 1, 1993

- Journal of Physics A: Mathematical and General
- Jun 21, 1994

- Materials Science and Engineering A-structural Materials Properties Microstructure and Processing
- Dec 15, 2000

- arXiv: Disordered Systems and Neural Networks
- Aug 4, 1999

- Journal of Physics A
- Mar 17, 2000

- arXiv: Chaotic Dynamics
- Oct 10, 1999

- Physica A: Statistical Mechanics and its Applications
- Apr 1, 1999

- Random Operators and Stochastic Equations
- Jan 1, 2005

- Physical Review Letters
- Aug 19, 2013

- Journal of Mathematical Imaging and Vision
- Jan 1, 2015

### arXiv: Disordered Systems and Neural Networks

- arXiv: Disordered Systems and Neural Networks
- Apr 6, 2021

- arXiv: Disordered Systems and Neural Networks
- Apr 4, 2021

- arXiv: Disordered Systems and Neural Networks
- Mar 31, 2021

- arXiv: Disordered Systems and Neural Networks
- Feb 24, 2021

- arXiv: Disordered Systems and Neural Networks
- Feb 11, 2021

- arXiv: Disordered Systems and Neural Networks
- Jan 28, 2021

- arXiv: Disordered Systems and Neural Networks
- Jan 23, 2021

- arXiv: Disordered Systems and Neural Networks
- Jan 11, 2021

- arXiv: Disordered Systems and Neural Networks
- Dec 22, 2020

- arXiv: Disordered Systems and Neural Networks
- Dec 14, 2020