Abstract

We consider random finite permutations and prove the following version of Thoma’s theorem in [8]: Random finite permutations which are class functions satisfy a new integration by parts formula if and only if they are given by a certain Ewens-Suto process. The main source of inspiration for the results in this note is the fundamental work of Andras Suto [7], from which some results are reestablished here again in the present point process approach.

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