Double Scaling Limit in Random Matrix Models and a Nonlinear Hierarchy of Differential Equations
High Energy Physics - Theory
2008-11-26 v1 Condensed Matter
Mathematical Physics
math.MP
Abstract
We derive the double scaling limit of eigenvalue correlations in the random matrix model at critical points and we relate the limiting correlation functions to a nonlinear hierarchy of ordinary differential equations.
Keywords
Cite
@article{arxiv.hep-th/0209087,
title = {Double Scaling Limit in Random Matrix Models and a Nonlinear Hierarchy of Differential Equations},
author = {P. Bleher and B. Eynard},
journal= {arXiv preprint arXiv:hep-th/0209087},
year = {2008}
}
Comments
17 pages, latex, J. Phys. A special issue on random matrices