Palm measures and rigidity phenomena in point processes
Probability
2016-11-23 v2 Statistical Mechanics
Abstract
We study the mutual regularity properties of Palm measures of point processes, and establish that a key determining factor for these properties is the rigidity-tolerance behaviour of the point process in question (for those processes that exhibit such behaviour). Thereby, we extend the results of Osada-Shirai, Bufetov and Olshanski to new ensembles, particularly those that are devoid of any determinantal structure. These include the zeroes of the standard planar Gaussian analytic function and several others.
Cite
@article{arxiv.1509.00898,
title = {Palm measures and rigidity phenomena in point processes},
author = {Subhro Ghosh},
journal= {arXiv preprint arXiv:1509.00898},
year = {2016}
}
Comments
To appear in the Electronic Communications in Probability