Conditional Intensity and Gibbsianness of Determinantal Point Processes
Probability
2010-03-16 v2 Mathematical Physics
math.MP
Abstract
The Papangelou intensities of determinantal (or fermion) point processes are investigated. These exhibit a monotonicity property expressing the repulsive nature of the interaction, and satisfy a bound implying stochastic domination by a Poisson point process. We also show that determinantal point processes satisfy the so-called condition which is a general form of Gibbsianness. Under a continuity assumption, the Gibbsian conditional probabilities can be identified explicitly.
Cite
@article{arxiv.math/0401402,
title = {Conditional Intensity and Gibbsianness of Determinantal Point Processes},
author = {Hans-Otto Georgii and Hyun Jae Yoo},
journal= {arXiv preprint arXiv:math/0401402},
year = {2010}
}
Comments
revised and extended