Palm measures and rigidity phenomena in point processes

Subhro Ghosh

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arXiv · 1509.00898

Palm measures and rigidity phenomena in point processes

Subhro Ghosh

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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.

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Subhro Ghosh. 2015-09-02. Palm measures and rigidity phenomena in point processes. https://arxiv.org/abs/1509.00898

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