Rescaling Ward identities in the random normal matrix model
Probability
2015-10-30 v4 Mathematical Physics
Analysis of PDEs
Complex Variables
math.MP
Abstract
We study existence and universality of scaling limits for the eigenvalues of a random normal matrix, in particular at points on the boundary of the spectrum. Our approach uses Ward's equation, which is an identity satisfied by the 1-point function.
Keywords
Cite
@article{arxiv.1410.4132,
title = {Rescaling Ward identities in the random normal matrix model},
author = {Yacin Ameur and Nam-Gyu Kang and Nikolai Makarov},
journal= {arXiv preprint arXiv:1410.4132},
year = {2015}
}
Comments
This is a substantial revision with several new results. The previous section 7 on singular boundary points has been lifted out and developed in a separate note