Determinantal identity for multilevel systems and finite determinantal processes
Mathematical Physics
2014-10-07 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Probability
Abstract
We give a simple algebraic derivation of a useful determinantal identity for multilevel systems such as random matrix chains and finite determinantal point processes, with applications to the calculation of point correlators, gap probabililties and Janossy densities.
Cite
@article{arxiv.0712.3892,
title = {Determinantal identity for multilevel systems and finite determinantal processes},
author = {J. Harnad and A. Yu. Orlov},
journal= {arXiv preprint arXiv:0712.3892},
year = {2014}
}
Comments
17 pages