Quasi-stationary distributions for queueing and other models

Phil Pollett

Abstract: This note presents conjectures on polynomial/algebraic/sub-exponential convergence of transition probabilities for lambda-null recurrent and lambda-transient Markov chains in continuous time. The only known positive examples are in queueing, branching, and related models. Implications for the existence of limiting conditional distributions for lambda-transient chains are discussed.

Acknowledgement: This worked was funded by the Australian Research Council

Last modified: 22nd February 2022