Working paper

On Markov intertwining relations and primal conditioning

Marc Arnaudon, Koléhè Coulibaly-Pasquier, and Laurent Miclo

Abstract

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

Replaced by

Marc Arnaudon, Koléhè Coulibaly-Pasquier, and Laurent Miclo, On Markov intertwining relations and primal conditioning, Journal of Theoretical Probability, November 2023.

Reference

Marc Arnaudon, Koléhè Coulibaly-Pasquier, and Laurent Miclo, On Markov intertwining relations and primal conditioning, TSE Working Paper, n. 24-1509, February 2024.

See also

Published in

TSE Working Paper, n. 24-1509, February 2024