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 , ,  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.
"Palm measures and rigidity phenomena in point processes." Electron. Commun. Probab. 21 1 - 14, 2016. https://doi.org/10.1214/16-ECP4532