Parametric level statistics in random matrix theory: Exact solution
Statistical Mechanics
2009-10-31 v1 chao-dyn
Disordered Systems and Neural Networks
High Energy Physics - Theory
Chaotic Dynamics
Abstract
An exact solution to the problem of parametric level statistics in non-Gaussian ensembles of N by N Hermitian random matrices with either soft or strong level confinement is formulated within the framework of the orthogonal polynomial technique. Being applied to random matrices with strong level confinement, the solution obtained leads to emergence of a new connection relation that makes a link between the parametric level statistics and the scalar two-point kernel in the thermodynamic limit.
Cite
@article{arxiv.cond-mat/9904043,
title = {Parametric level statistics in random matrix theory: Exact solution},
author = {E. Kanzieper},
journal= {arXiv preprint arXiv:cond-mat/9904043},
year = {2009}
}
Comments
4 pages (revtex)