Random matrix ensembles with column/row constraints: part I
Statistical Mechanics
2015-10-28 v2
Abstract
We analyze statistical properties of the complex system with conditions which manifests through specific constraints on the column/row sum of the matrix elements. The presence of additional constraints besides symmetry leads to new correlations among eigenfunctions, hinders their complete delocalization and affects the eigenvalues too. Our results reveal a rich behavior hidden beneath the spectral statistics and also indicate the presence of a new universality class analogous to that of a Brownian ensemble appearing between Poisson and Gaussian orthogonal ensemble.
Cite
@article{arxiv.1409.6538,
title = {Random matrix ensembles with column/row constraints: part I},
author = {Pragya Shukla and Suchetana Sadhukhan},
journal= {arXiv preprint arXiv:1409.6538},
year = {2015}
}
Comments
The old version is now divided into parts with numerical results given in Random matrix ensembles with column/row constraints: part II, submitted as a new arXiv