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arXiv · 2606.28174

Moment duality and propagation of exchangeability

Adrián González Casanova·Ariel Offenstadt·Arno Siri-Jégousse
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Abstract

We identify necessary and sufficient conditions for a class of random mappings to send exchangeable $\{0,1\}$-sequences to other exchangeable $\{0,1\}$-sequences. We call this property the propagation of exchangeability, and show that any mapping that propagates exchangeability induces a pair of forward- and backward-in-time processes that are moment duals. This establishes a transparent, tractable, and applicable connection between moment duality and the propagation of exchangeability. We illustrate the usefulness of our results by constructing lookdown models for $\Xi$-Fleming--Viot processes with frequency-dependent selection.

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Adrián González Casanova, Ariel Offenstadt, Arno Siri-Jégousse. 2026-06-26. Moment duality and propagation of exchangeability. https://arxiv.org/abs/2606.28174

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