Deformed Ginibre ensembles and integrable systems
Mathematical Physics
2015-01-15 v2 Disordered Systems and Neural Networks
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider three Ginibre ensembles (real, complex and quaternion-real) with a deformed measure and relate them to the known integrable systems via presenting partition functions of these ensembles in form of fermionic expectation values. We also introduce double deformed Dyson-Wigner ensembles and compare their fermionic representations with these of Ginibre ensembles.
Cite
@article{arxiv.1210.1123,
title = {Deformed Ginibre ensembles and integrable systems},
author = {Alexander Orlov},
journal= {arXiv preprint arXiv:1210.1123},
year = {2015}
}
Comments
14 pages, some misprints are corrected