Abstracts > Siri-Jégousse Arno

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.

This is a joint work eith Adrián González Casanova (Arizona SU) and Ariel Offenstadt (Paris Cité).