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A correction to Kallenberg's theorem for jointly exchangeable random measures
Christian Borgs, Jennifer T. Chayes, Souvik Dhara, Subhabrata Se · 2019-07-03 · via math.PR updates on arXiv.org

Kallenberg (2005) provided a necessary and sufficient condition for the local finiteness of a jointly exchangeable random measure on $\R_+^2$. Here we note an additional condition that was missing in Kallenberg's theorem, but was implicitly used in the proof. We also provide a counter-example when the additional condition does not hold.

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