Abstracts: Identifying Q-processes with a given finite mu-invariant measure

Identifying Q-processes with a given finite m-invariant measure

P.K. Pollett

Abstract: Let Q=(q_ij, i,j in S) be a stable and conservative Q-matrix over a state space S consisting of an irreducible (transient) class C and a single absorbing state 0, which is accessible from C. Suppose that Q admits a finite m-subinvariant measure m=(m_j, j in C) on C. We consider the problem of identifying all Q-processes for which m is a m-invariant measure on C.

Keywords: Q-processes; quasistationary distributions; construction theory

The author:

Phil Pollett, Discipline of Mathematics, The University of Queensland. pkp@maths.uq.edu.au

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Last modified: 26th January 2000