%S TSE Working Paper %A Marc Arnaudon %A Abdoulaye Koléhè Coulibaly-Pasquier %A Laurent Miclo %T On Markov intertwining relations and primal conditioning %X Given an intertwining relation between two finite Markov chains, we investigate how it can be transformed by conditioning the primal Markov chain to stay in a proper subset. A natural assumption on the underlying link kernel is put forward. The three classical examples of discrete Pitman, top-to- random shuffle and absorbed birth-and-death chain intertwinings serve as illustrations %B TSE Working Paper %V 24-1509 %D 2024 %C Toulouse %I TSE Working Paper %L publications48677