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Restricted exchangeable partitions and embedding of associated hierarchies in continuum random trees

Bo ChenMatthias Winkel — 2013

Annales de l'I.H.P. Probabilités et statistiques

We introduce the notion of a restricted exchangeable partition of . We obtain integral representations, consider associated fragmentations, embeddings into continuum random trees and convergence to such limit trees. In particular, we deduce from the general theory developed here a limit result conjectured previously for Ford’s alpha model and its extension, the alpha-gamma model, where restricted exchangeability arises naturally.

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